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• 18:37, 30 April 2010 (hist) (diff) N Quadratic Equations-45 ‎ (Created page with '''' Solve the following equation:'''<br/> '''(x - a)/b + (x - b)/a = b/(x - a) + a/(x - b)''' '''Solution:''' We have, (x - a)/b + (x - b)/a = b/(x - a) + a/(x - b) =>(x - a)/b…')
• 18:04, 30 April 2010 (hist) (diff) N Quadratic Equations-44 ‎ (Created page with ''''Solve the equation:'''<br/> '''(x - 2)/(x + 2) + (x + 2)/(x - 2) = 2(x + 3)/(x - 3)''' Solution: We have, (x - 2)/(x + 2) + (x + 2)/(x - 2) = 2(x + 3)/(x - 3) => [(x + 2) - …')
• 13:08, 30 April 2010 (hist) (diff) N Quadratic Equations-42 ‎ (Created page with ''''Solve the following equation:'''<br/> '''(x - 1)⁴ + (x - 5)⁴ = 82''' '''Solution:''' Let y = [(x - 1) + (x - 5)]/2 = x - 3. Then, x = y + 3 Putting x …')
• 12:36, 29 April 2010 (hist) (diff) N Quadratic Equations-41 ‎ (Created page with ''''Solve the following equation:'''<br/> '''(x + 2)(x + 3)(x + 8)(x + 12) = 4x²''' '''Solution:''' We have, 3X8 = 2X12. So, we write the given equation in the followi…')
• 10:56, 28 April 2010 (hist) (diff) N Quadratic Equations-32 ‎ (Created page with ''''Solve the equation'''<br/> '''(7 + 4√3)^{x² - 4x + 3} + (7 – 4√3)^{x² - 4x + 3} = 14'''<br/> '''Solution:''' Let (7 + 4&ra…')
• 10:29, 28 April 2010 (hist) (diff) N Quadratic Equations-31 ‎ (Created page with ''''Solve : (5 + 2√6)^{x² - 3} + (5 - 2√6) ^{x² - 3} = 10''' '''Solution:''' Since (5 + 2√6)(5 - 2√6) = 25 – 24 = …')
• 18:23, 26 April 2010 (hist) (diff) N Quadratic Equations-30 ‎ (Created page with ''''Solve the following equation:''' '''√(x² + 4x - 21) + √(x² - x - 6) = √(6x² - 5x - 39)''' '''Solution:''' We have, &radic…')
• 17:50, 26 April 2010 (hist) (diff) N Quadratic Equations-29 ‎ (Created page with ''''Solve the equation:''' '''√(5x² - 6x + 8) - √( 5x² - 6x – 7) = 1''' '''Solution:''' Let 5x² - 6x = y. Then, √(5x<sup>2<…')
• 17:43, 26 April 2010 (hist) (diff) N Quadratic Equations-28 ‎ (Created page with ''''Solve: √(x + 5) + √(x + 21) = √(6x + 40)''' '''Solution:''' √(x + 5) + √(x + 21) = √(6x + 40) =>[√(x + 5) + √(x + 21)]<sup>2<…')
• 17:32, 26 April 2010 (hist) (diff) N Quadratic Equations-27 ‎ (Created page with ''''Solve the equation √(3x + 1) - √(x – 1) = 2 in C''' '''Solution:''' We have, √(3x + 1) - √(x – 1) = 2 =>[√(3x + 1) - √(x – 1)]<sup>…')
• 17:27, 26 April 2010 (hist) (diff) N Quadratic Equations-26 ‎ (Created page with ''''Solve the equation √x = x – 2''' '''Solution:''' We have, √x = x – 2 =>x = (x - 2)² [squaring both sides] => x² - 5x + 4 = 0 => (x - …')
• 17:22, 26 April 2010 (hist) (diff) N Quadratic Equations-25 ‎ (Created page with ''''Solve the equation √(13 – 3x) = x – 3''' '''Solution:''' We have, √(13 – 3x) = x – 3 =>13 – 3x = (x – 3)² [squaring both sides] x<sup>2…')
• 17:11, 26 April 2010 (hist) (diff) Quadratic Equations-24 ‎
• 17:10, 26 April 2010 (hist) (diff) Quadratic Equations-24 ‎
• 10:43, 26 April 2010 (hist) (diff) N Quadratic Equations-24 ‎ (Created page with ''''Solve x² - (7 - i)x + (18 - i) = 0 over C.''' '''Solution:''' Comparing the given equation with the general form ax² + bx + c = 0, we get a = 1, b = -…')
• 10:00, 26 April 2010 (hist) (diff) N Quadratic Equations-23 ‎ (Created page with ''''Solve 2x² - (3 + 7i)x – (3 – 9i) = 0''' '''Solution:'''On comparing the given equation with the general form ax² + bx + c = 0, we obtain a = 2, b =…')
• 08:15, 24 April 2010 (hist) (diff) N Quadratic Equations-22 ‎ (Created page with ''''Solve the following quadratic equations by using the general expressions for the roots of a quadratic equation:'''<br/> '''(i) x² - (3√2 – 2i)x – 6√…')
• 07:26, 24 April 2010 (hist) (diff) N Quadratic Equations-21 ‎ (Created page with ''''Solve the following equations by factorization method:'''<br/> '''(i) x² - √2ix + 12 = 0'''<br/> '''(ii) 3x² + 7ix + 6 = 0'''<br/> '''(iii) x<sup>2…')
• 06:59, 24 April 2010 (hist) (diff) N Quadratic Equations-20 ‎ (Created page with ''''Solve the following quadratic equations by factorization method:'''<br/> '''(i)x² - 5ix – 6 = 0 (ii) x² + 4ix – 4 = 0''' '''Solution:''' (i) The giv…')
• 06:40, 23 April 2010 (hist) (diff) N Linear Inequations-24 ‎ (Created page with ''''A manufacturer has 600 liters of a 12% solution of acid. How many liters of a 30% acid solution must be added'''<br/> '''to it so that acid content in the resulting mixture wi…') (top)
• 05:58, 23 April 2010 (hist) (diff) N Linear Inequations-23 ‎ (Created page with ''''In the first four papers each of 100 marks, Richard got 95, 72, 73, 83 marks.'''<br/> '''If he wants an average of greater than or equal to 75 marks and less than 80 marks,'''…')
• 05:52, 23 April 2010 (hist) (diff) N Linear Inequations-22 ‎ (Created page with ''''IQ of a person is given by the formula'''<br/> '''IQ = MA/CA X 100,'''<br/> '''where MA is the mental age and CA is the chronological age.'''<br/> '''If 80 ≤ IQ ≤ 140 fo…')
• 11:54, 14 April 2010 (hist) (diff) N Linear Inequations-21 ‎ (Created page with ''''The cost and revenue functions of a product are given by C(x) = 2x + 400 and R(x) = 6x + 20 respectively,<br/> '''where x is the number of items produce by the manufacturer. H…')
• 11:48, 14 April 2010 (hist) (diff) N Linear Inequations-20 ‎ (Created page with ''''Find all pairs of consecutive even positive integers, both of which are larger than 8, such that their sum is less than 25.''' '''Solution:''' Let x be the smaller of the tw…')
• 11:44, 14 April 2010 (hist) (diff) Linear Inequations-18 ‎
• 11:42, 14 April 2010 (hist) (diff) N Linear Inequations-19 ‎ (Created page with ''''Find all pairs of consecutive odd positive integers, both of which are smaller than 18, such that their sum is more than 20.''' '''Solution:''' Let x be the smaller of the tw…')
• 11:37, 14 April 2010 (hist) (diff) N Linear Inequations-18 ‎ (Created page with ''''Solve |x - 1|/(x + 2) < 1''' '''Solution:''' We have, |x - 1|/(x + 2) < 1 =>|x - 1|/(x + 2) – 1 < 0 => [|x - 1| - (x + 2)]/(x + 2) < 0 Now, the following cases arise. …')
• 18:20, 13 April 2010 (hist) (diff) N Linear Inequations-17 ‎ (Created page with ''''Solve |x - 1| + |x - 2| ≥ 4''' '''Solution:''' On the LHS of the given inequation there are two terms both containing modulus. By equating the expressions within the modul…')
• 11:12, 13 April 2010 (hist) (diff) Linear Inequations-8 ‎
• 11:05, 13 April 2010 (hist) (diff) N Linear Inequations-16 ‎ (Created page with ''''Solve: [|x + 3| + x]/(x + 2) > 1''' '''Solution:''' We have [|x + 3| + x]/(x + 2) > 1 Clearly, LHS of this inequation is meaningful for x ≠ -2 Now, [|x + 3| + x]/(x + 2…')
• 10:50, 13 April 2010 (hist) (diff) N Linear Inequations-15 ‎ (Created page with ''''Solve the inequation:'''<br/> '''|2/(x - 4)| > 1, x ≠ 4''' '''Solution:''' We have, |2/(x - 4)| > 1, x ≠ 4 =>2/|(x - 4)| > 1, [since, |a/b| = |a|/|b|] =>2 > |x - 4| …')
• 10:43, 13 April 2010 (hist) (diff) N Linear Inequations-14 ‎ (Created page with ''''Solve -1/{|x| - 2} ≥ 1, where x ∈ R, x ≠ ± 2''' '''Solution:''' We have, -1/{|x| - 2} ≥ 1 =>-1/{|x| - 2} – 1 ≥ 0 =>[-1 – (|x| - 2)]/[|x| - 2] &g…')
• 10:36, 13 April 2010 (hist) (diff) N Linear Inequations-13 ‎ (Created page with ''''Solve: {|x| - 1}/{|x| - 2} ≥ 0 x ∈ R, x ≠ ± 2''' '''Solution:''' We have, {|x| - 1}/{|x| - 2} ≥ 0 => (y - 1)/(y - 2) ≥ 0, where y = |x| => y ≤ 1 …')
• 10:23, 13 April 2010 (hist) (diff) Linear Inequations-12 ‎
• 10:22, 13 April 2010 (hist) (diff) N Linear Inequations-12 ‎ (Created page with ''''Solve the following system of inequations:'''<br/> '''|x - 1| ≤ 5, |x| ≥ 2''' '''Solution:''' The given system of inequations is |x - 1| ≤ 5 |x| ≥ 2 Now, |x -…')
• 05:46, 13 April 2010 (hist) (diff) N Linear Inequations-11 ‎ (Created page with ''''Solve 1 ≤ |x - 2| ≤ 3''' '''Solution:''' We know that: a ≤ |x - c| ≤ b. <=> x ∈ [-b + c, -a + c] U [a + c, b + c] Therefore, 1 ≤ |x - 2| ≤ 3 <=> x &…')
• 05:42, 13 April 2010 (hist) (diff) N Linear Inequations-10 ‎ (Created page with ''''Solve |x - 2| ≥ 5''' '''Solution:''' We know that |x - a| ≥ r <=> x ≤ a – r, or x ≥ a + r |x - 2| ≥ 5 <=> x ≤ 2 – 5, or x ≥ 2 + 5 <=>x ≤ -3 or …')
• 05:36, 13 April 2010 (hist) (diff) N Linear Inequations-9 ‎ (Created page with ''''Find the solution set of the inequation |3x - 2|≤ 1/2''' '''Solution:''' We know that |x - a| ≤ r <=> a – r ≤ x ≤ a + r |3x - 2|≤ 1/2 <=> 2 – 1/2 ≤ 3x…')
• 05:29, 13 April 2010 (hist) (diff) N Linear Inequations-8 ‎ (Created page with ''''Solve the system of inequaitons:''' '''x/(2x + 1) ≥ 1/4 , 6x/(4x - 1) < 1/2''' '''Solution:''' The given system of inequations is x/(2x + 1) ≥ 1/4 -------------------…')
• 12:10, 12 April 2010 (hist) (diff) N Linear Inequations-7 ‎ (Created page with ''''Solve -5 ≤ (2 – 3x)/4 ≤ 9''' '''Solution:''' We have, -5 ≤ (2 – 3x)/4 ≤ 9 =>-5 X 4 ≤ (2 – 3x)/4 X 4 ≤ 9 X 4 [Multiplying throughout by 4] => -20 &l…')
• 12:04, 12 April 2010 (hist) (diff) N Linear Inequations-6 ‎ (Created page with ''''Solve -11 ≤ 4x – 3 ≤ 13''' '''Solution:''' We have, -11 ≤ 4x – 3 ≤ 13 <=> -11 + 3 ≤ 4x – 3 + 3 ≤ 13 + 3 [Adding 3 throughout] => -8 ≤ 4x ≤ 16…')
• 11:54, 12 April 2010 (hist) (diff) N Linear Inequations-5 ‎ (Created page with ''''Solve the following system of inequations:'''<br/> '''2(2x + 3) – 10 < 6(x - 2)'''<br/> '''(2x – 3)/4 + 6 ≥ 2 + 4x/3''' '''Solution:''' The given system of inequations…')
• 11:32, 12 April 2010 (hist) (diff) N Linear Inequations-4 ‎ (Created page with ''''Solve the following equaitions:''' '''(i)1/(x - 2) < 0''' '''(ii) (x + 1)/(x + 2) ≥ 1''' '''Solution:''' (i) 1/(x – 2) < 0 =>x – 2 < 0 [since, a/b < 0 and a > 0 => b…')
• 11:06, 12 April 2010 (hist) (diff) Linear Inequations-3 ‎
• 11:10, 11 April 2010 (hist) (diff) N Linear Inequations-3 ‎ (Created page with ''''Solve the following inequations:'''<br/> '''(i)1/2 (3x/5 + 4) ≥ 1/3 (x - 6)'''<br/> '''(ii) 3(x - 2)/5 ≥ 5(2 – x)/3''' '''Solution:''' (i) We have, 1/2 (3x/5 + 4) &ge…')
• 10:51, 11 April 2010 (hist) (diff) N Linear Inequations-2 ‎ (Created page with ''''Solve the inequations:'''<br/> '''(i)(2x - 3)/4 + 9 ≥ 3 + 4x/3'''<br/> '''(ii) (5x - 2)/3 – (7x - 3)/ 5 > x/4'''<br/> '''Solution:''' (i) We have, (2x - 3)/4 + 9 ≥ 3 …')
• 10:29, 11 April 2010 (hist) (diff) m Linear Inequations-1 ‎ (moved Functions-24 to Linear Inequations-1)
• 10:27, 11 April 2010 (hist) (diff) m Linear Inequations ‎ (moved Functions-23 to Linear Inequations)
• 07:13, 11 April 2010 (hist) (diff) N Linear Inequations-1 ‎ (Created page with ''''Solve the following inequations:'''<br/> '''(i)3x + 17 ≤ 2(1 - x)'''<br/> '''(ii) 2(2x + 3) – 10 ≤ 6(x - 2)'''<br/> '''Solution:''' (i) We have, 3x + 17 ≤ 2(1 - x)…')
• 07:07, 11 April 2010 (hist) (diff) N Linear Inequations ‎ (Created page with ''''Solve the following linear inequations:'''<br/> '''(i) 2x – 4 ≤ 0'''<br/> '''(ii) -3x + 12 < 0'''<br/> '''(iii) 4x – 12 ≥ 0'''<br/> '''(iv) 7x + 9 > 30''' Solution:…')

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