What are the solutions to the equation y^3+y^2=9y+9 ?

The solutions to the equation y^3+y^2=9y+9 are y=-1,y=-3,y=3

Find the zeros of y^3+y^2=9y+9

The zeros of y^3+y^2=9y+9 are y=-1,y=-3,y=3

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y^{3} + y^{2} = 9 y + 9

y = - 1, y = - 3, y = 3

Solution steps

y^{3} + y^{2} = 9 y + 9

Move

9

to the left side

y^{3} + y^{2} - 9 = 9 y

Move

9 y

to the left side

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

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

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

Factor

y^{3} + y^{2} - 9 y - 9 : (y + 1) (y + 3) (y - 3)

(y + 1) (y + 3) (y - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y + 1 = 0 or y + 3 = 0 or y - 3 = 0

Solve

y + 1 = 0 : y = - 1

Solve

y + 3 = 0 : y = - 3

Solve

y - 3 = 0 : y = 3

The solutions are

y = - 1, y = - 3, y = 3

54 = x^{4}

(1 - 3 x)^{4} - 5 (1 - 3 x)^{2} + 4 = 0

0 = 4 x^{3} + 16 x - 20

x^{3} - 6 x^{2} + 3 x + 1 = 0

y^{3} + 4 y^{2} - 36 y = 144

What are the solutions to the equation y^3+y^2=9y+9 ?
The solutions to the equation y^3+y^2=9y+9 are y=-1,y=-3,y=3
Find the zeros of y^3+y^2=9y+9
The zeros of y^3+y^2=9y+9 are y=-1,y=-3,y=3