# SOLUTION: If {{{x}}} is a root of the quadratic equation {{{x^2=3-2x}}}, show that a) {{{x^3=7x-6}}}, b) {{{x^4=21-20x}}}. I need steps. {{{THANKS!}}}

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: If {{{x}}} is a root of the quadratic equation {{{x^2=3-2x}}}, show that a) {{{x^3=7x-6}}}, b) {{{x^4=21-20x}}}. I need steps. {{{THANKS!}}}      Log On

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 Click here to see ALL problems on Quadratic Equations Question 702263: If is a root of the quadratic equation , show that a) , b) . I need steps. Answer by lwsshak3(7679)   (Show Source): You can put this solution on YOUR website! is a root of the quadratic equation , show that a) , b) . ** x^2=3-2x x^2+2x-3=0 (x+3)(x-1)=0 x=-3 or x=1 .. a) , For x=-3 -3^3=7*-3-6 -27=-21-6 -27=-27 .. for x=1 1^3=7*1-6 1=1 .. b) for x=-3 (-3)^4=21-20(-3) 81=21+60 81=81 .. for x=1 1^4=21-20(1) 1=1