What are the solutions to the equation -a^3+6a^2+15a+8=0 ?

The solutions to the equation -a^3+6a^2+15a+8=0 are a=-1,a=8

Find the zeros of -a^3+6a^2+15a+8=0

The zeros of -a^3+6a^2+15a+8=0 are a=-1,a=8

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- a^{3} + 6 a^{2} + 15 a + 8 = 0

a = - 1, a = 8

Solution steps

- a^{3} + 6 a^{2} + 15 a + 8 = 0

Factor

- a^{3} + 6 a^{2} + 15 a + 8 : - (a + 1)^{2} (a - 8)

- (a + 1)^{2} (a - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a + 1 = 0 or a - 8 = 0

Solve

a + 1 = 0 : a = - 1

Solve

a - 8 = 0 : a = 8

The solutions are

a = - 1, a = 8

3 = n^{3} - 3 n^{2} + n

n^{2} + n^{3} = - 180

x^{3} - 27 x - 27 = 0

x^{3} + 5 x^{2} + 6 x = - 30

4 (x + 4)^{4} - 53 (x + 4)^{2} = - 49

What are the solutions to the equation -a^3+6a^2+15a+8=0 ?
The solutions to the equation -a^3+6a^2+15a+8=0 are a=-1,a=8
Find the zeros of -a^3+6a^2+15a+8=0
The zeros of -a^3+6a^2+15a+8=0 are a=-1,a=8