What are the solutions to the equation x^3-45x=4x^2 ?

The solutions to the equation x^3-45x=4x^2 are x=0,x=-5,x=9

Find the zeros of x^3-45x=4x^2

The zeros of x^3-45x=4x^2 are x=0,x=-5,x=9

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x^{3} - 45 x = 4 x^{2}

x = 0, x = - 5, x = 9

Solution steps

x^{3} - 45 x = 4 x^{2}

Move

4 x^{2}

to the left side

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

Factor

x^{3} - 45 x - 4 x^{2} : x (x + 5) (x - 9)

x (x + 5) (x - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 5 = 0 or x - 9 = 0

Solve

x + 5 = 0 : x = - 5

Solve

x - 9 = 0 : x = 9

The solutions are

x = 0, x = - 5, x = 9

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

(3 - x) x^{2} = 0

0 = 3 x^{3} + 8 x^{2} - 15 x + 4

2 z^{4} + 32 = 0

k^{4} - 3 k^{3} - 3 k^{2} + 5 k = 0

What are the solutions to the equation x^3-45x=4x^2 ?
The solutions to the equation x^3-45x=4x^2 are x=0,x=-5,x=9
Find the zeros of x^3-45x=4x^2
The zeros of x^3-45x=4x^2 are x=0,x=-5,x=9