What are the solutions to the equation y^4-7y^3-18y^2=0 ?

The solutions to the equation y^4-7y^3-18y^2=0 are y=0,y=-2,y=9

Find the zeros of y^4-7y^3-18y^2=0

The zeros of y^4-7y^3-18y^2=0 are y=0,y=-2,y=9

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y^{4} - 7 y^{3} - 18 y^{2} = 0

y = 0, y = - 2, y = 9

Solution steps

y^{4} - 7 y^{3} - 18 y^{2} = 0

Factor

y^{4} - 7 y^{3} - 18 y^{2} : y^{2} (y + 2) (y - 9)

y^{2} (y + 2) (y - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or y + 2 = 0 or y - 9 = 0

Solve

y + 2 = 0 : y = - 2

Solve

y - 9 = 0 : y = 9

The solutions are

y = 0, y = - 2, y = 9

x + x^{2} + x^{3} + x^{4} = 1

x, x^{3} - 7 x^{2} = 7 - x

x^{4} - 4 x^{3} + 4 x^{2} - 36 x - 45 = 0

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

x^{3} - 9 x^{2} + 31 x - 39

What are the solutions to the equation y^4-7y^3-18y^2=0 ?
The solutions to the equation y^4-7y^3-18y^2=0 are y=0,y=-2,y=9
Find the zeros of y^4-7y^3-18y^2=0
The zeros of y^4-7y^3-18y^2=0 are y=0,y=-2,y=9