Question

Find all roots.
11) x^3 + 6x² + 5x = 0

Answer 1

x=0

x=-1

x=-5

Explanation:

To find the roots, we set the equation equal to zero and factor.

x(x²+6x+5)=0 [factor]

x(x+1)(x+5)=0 [set each factor equal to 0]

x=0

x+1=0 [subtract both sides by 1]

x=-1

x+5=0 [subtract both sides by 5]

x=-5

Now, we have found three roots, x=0, x=-1, x=-5.