What are the solutions to the equation 22x=x^3-9x^2 ?

The solutions to the equation 22x=x^3-9x^2 are x=0,x=-2,x=11

Find the zeros of 22x=x^3-9x^2

The zeros of 22x=x^3-9x^2 are x=0,x=-2,x=11

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22 x = x^{3} - 9 x^{2}

x = 0, x = - 2, x = 11

Solution steps

22 x = x^{3} - 9 x^{2}

Switch sides

x^{3} - 9 x^{2} = 22 x

Move

22 x

to the left side

x^{3} - 9 x^{2} - 22 x = 0

Factor

x^{3} - 9 x^{2} - 22 x : x (x + 2) (x - 11)

x (x + 2) (x - 11) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 2 = 0 or x - 11 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x - 11 = 0 : x = 11

The solutions are

x = 0, x = - 2, x = 11

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

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

2 x^{3} - 5 x^{2} + x + 2

y^{4} - 4 = 0

z^{6} + 6 z^{3} + 10 = 0

What are the solutions to the equation 22x=x^3-9x^2 ?
The solutions to the equation 22x=x^3-9x^2 are x=0,x=-2,x=11
Find the zeros of 22x=x^3-9x^2
The zeros of 22x=x^3-9x^2 are x=0,x=-2,x=11