What are the solutions to the equation a^3+5a^2-9a-45=0 ?

The solutions to the equation a^3+5a^2-9a-45=0 are a=-5,a=-3,a=3

Find the zeros of a^3+5a^2-9a-45=0

The zeros of a^3+5a^2-9a-45=0 are a=-5,a=-3,a=3

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a^{3} + 5 a^{2} - 9 a - 45 = 0

a = - 5, a = - 3, a = 3

Solution steps

a^{3} + 5 a^{2} - 9 a - 45 = 0

Factor

a^{3} + 5 a^{2} - 9 a - 45 : (a + 5) (a + 3) (a - 3)

(a + 5) (a + 3) (a - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a + 5 = 0 or a + 3 = 0 or a - 3 = 0

Solve

a + 5 = 0 : a = - 5

Solve

a + 3 = 0 : a = - 3

Solve

a - 3 = 0 : a = 3

The solutions are

a = - 5, a = - 3, a = 3

x^{5} = - 125 x^{2}

3 x^{3} - 5 x^{2} + 3 x - 5 = 0

x^{4} + 41 x^{2} + 400 = 0

(x - 2)^{3} = 25 (x - 2)

x^{3} + 3 x^{2} - 2 x - 6 = 0

What are the solutions to the equation a^3+5a^2-9a-45=0 ?
The solutions to the equation a^3+5a^2-9a-45=0 are a=-5,a=-3,a=3
Find the zeros of a^3+5a^2-9a-45=0
The zeros of a^3+5a^2-9a-45=0 are a=-5,a=-3,a=3