what is sum of square of the roots of eq. 2x^2+3x+56

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Latika Leekha · Answer

Please note we need to have an equality in this to call it an equation. The equation should have been 2x 2 + 3x + 56 = 0. We know that the sum of roots is given by -b/a and the product of roots is c/a. here, a = 2, b = 3, c = 56. Now, sum of roots = -b/a = -3/2 Product of roots = c/a = 56/2 = 28. Let us assume the roots to be A and B. Then A + B = -3/2 and AB = 28. We are required to find A 2 + B 2 . A 2 + B 2 = (A+B) 2 &ndash; 2AB = (-3/2) 2 &ndash; 2. 28. = 9/4 &ndash; 56 = -215/4. Thanks & Regards Latika Leekha askIITians Faculty

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what is sum of square of the roots of eq. 2x^2+3x+56

what is sum of square of the roots of eq. 2x^2+3x+56

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