quadratic equations
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a+b = 3/2...........ab = -3 S = a^2 + 2 + b^2 + 2 = (a+b)^2 -2ab +4 = 9/4 + 6 +4 = 49/4 = 12.25 P = (a^2+2)(b^2+2) = (ab)^2 + 2(a^2 + b^2) + 4 = (ab)^2 + 2( (a+b)^2 - 2ab ) +4 = 9/4 + 2( 9/4 +6) +4 = 22.75 Thus required equation ---> x^2 - Sx + P = 0............x^2 - 12.25x + 22.75 = 0 4*x^2 - 49*x + 91 = 0...........This is the one......!!!!!!!!!11 |
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