SOLUTION: x^4+2x^3=10x^2 Find the real or imaginary solutions of each equation by factoring.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: x^4+2x^3=10x^2 Find the real or imaginary solutions of each equation by factoring.       Log On


   

Question 1021814: x^4+2x^3=10x^2
Find the real or imaginary solutions of each equation by factoring.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E4%2B2x%5E3=10x%5E2
x%5E4%2B2x%5E3-10x%5E2=0
x%5E2%28x%5E2%2B2x-10%29=0
x%5E2%28x%5E2%2B2x%2B1-10-1%29=0
x%5E2%28%28x%2B1%29%5E2-11%29=0
So,
x=0
and
%28x%2B1%29%5E2-11=0
%28x%2B1%29%5E2=11
x%2B1=0+%2B-+sqrt%2811%29
x=-1+%2B-+sqrt%2811%29
.
.
.
.