What are the solutions to the equation 5y^3+2y^2-45y-18=0 ?

The solutions to the equation 5y^3+2y^2-45y-18=0 are y=-2/5 ,y=-3,y=3

Find the zeros of 5y^3+2y^2-45y-18=0

The zeros of 5y^3+2y^2-45y-18=0 are y=-2/5 ,y=-3,y=3

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5 y^{3} + 2 y^{2} - 45 y - 18 = 0

y = - \frac{2}{5}, y = - 3, y = 3

Decimal Notation

y = - 0.4, y = - 3, y = 3

Solution steps

5 y^{3} + 2 y^{2} - 45 y - 18 = 0

Factor

5 y^{3} + 2 y^{2} - 45 y - 18 : (5 y + 2) (y + 3) (y - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

5 y + 2 = 0 or y + 3 = 0 or y - 3 = 0

Solve

5 y + 2 = 0 : y = - \frac{2}{5}

Solve

y + 3 = 0 : y = - 3

Solve

y - 3 = 0 : y = 3

The solutions are

y = - \frac{2}{5}, y = - 3, y = 3

(5 x - 2)^{3} + 10 = 18

10 x^{4} - 17 x^{2} + 3 = 0

x^{3} + 8 x^{2} - 4 x - 32 = 0

8 x^{3} + 7 = 8

(x + 5)^{3} = (7 - x)^{2}

What are the solutions to the equation 5y^3+2y^2-45y-18=0 ?
The solutions to the equation 5y^3+2y^2-45y-18=0 are y=-2/5 ,y=-3,y=3
Find the zeros of 5y^3+2y^2-45y-18=0
The zeros of 5y^3+2y^2-45y-18=0 are y=-2/5 ,y=-3,y=3