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!}}}

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.Com

Question 702263: If is a root of the quadratic equation , show that
a) ,
b) .
I need steps.
Answer by lwsshak3(11628) (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

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