What are the solutions to the equation y^3+5y^2-36y-180=0 ?

The solutions to the equation y^3+5y^2-36y-180=0 are y=-5,y=-6,y=6

Find the zeros of y^3+5y^2-36y-180=0

The zeros of y^3+5y^2-36y-180=0 are y=-5,y=-6,y=6

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y^{3} + 5 y^{2} - 36 y - 180 = 0

y = - 5, y = - 6, y = 6

Solution steps

y^{3} + 5 y^{2} - 36 y - 180 = 0

Factor

y^{3} + 5 y^{2} - 36 y - 180 : (y + 5) (y + 6) (y - 6)

(y + 5) (y + 6) (y - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y + 5 = 0 or y + 6 = 0 or y - 6 = 0

Solve

y + 5 = 0 : y = - 5

Solve

y + 6 = 0 : y = - 6

Solve

y - 6 = 0 : y = 6

The solutions are

y = - 5, y = - 6, y = 6

x^{4} + 49 x^{2} = 0

(x - 1) (x + 2)^{2} (x^{2} - 6 x + 10) = 0

3 y (3 y - 5) (2 y + 7) = 0

x^{4} + 2 x^{2} - 2 x + 1 = 0

12 x^{3} - 84 x^{2} + 120 x = 0

What are the solutions to the equation y^3+5y^2-36y-180=0 ?
The solutions to the equation y^3+5y^2-36y-180=0 are y=-5,y=-6,y=6
Find the zeros of y^3+5y^2-36y-180=0
The zeros of y^3+5y^2-36y-180=0 are y=-5,y=-6,y=6