SOLUTION: Solve each equation. Round your answers to the nearest tenth when necessary. x^3 = 2x^2 + 8x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve each equation. Round your answers to the nearest tenth when necessary. x^3 = 2x^2 + 8x      Log On


   

Question 83699: Solve each equation. Round your answers to the nearest tenth when necessary.
x^3 = 2x^2 + 8x
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:

x%5E3+=+2x%5E2+%2B+8x

This cna be written as:


x%5E3+-+2x%5E2+-+8x+=+0+


Here, we observe that "x" can be taken as the common factor. So, we will take out "x" as the factor;

x%28x%5E2+-+2x+-+8%29+=+0+


==> x = 0 or %28x%5E2+-+2x+-+8%29+=+0+

==> x = 0 or x%5E2+-+4x+%2B+2x+-+8+=+0+

==> x%28x+-+4%29+%2B+2%28x+-+4%29=+0+

==> x = 0 or x = 4 or x = -2

hence, the solution.