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

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

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

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

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

y = - 5, y = - 3, y = 3

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y + 5 = 0 or y + 3 = 0 or y - 3 = 0

Solve

y + 5 = 0 : y = - 5

Solve

y + 3 = 0 : y = - 3

Solve

y - 3 = 0 : y = 3

The solutions are

y = - 5, y = - 3, y = 3

0 = x^{4} + 3

2 x^{3} - 8 x^{2} = 0

0 = x^{4} - 1

485 = 5 x^{3}

r^{3} - 5 r^{2} + 3 r + 9 = 0

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