Question

Samantha has the equation x^3+2x^2+x=x^3-x. explain how she can find the solution of the equation then solve the equation.

Answer 1

x =+-1

Explanation:

x^3+2x^2+x=x^3-x

(x^3-2x^2)-(x-2)=x(x^2-1)

x^2(x-2)-(x-2)=x(x^2-1)

(X^2-1)(x-2)=x(x^2-1)

(x+1)(x-1)(x-2)=x(x-1)(x+1)

(x+1)(x-1) ((x-2)-x)=0

-2(x+1)(x-1)=0

x =+-1