What are the solutions to the equation 16+x^3=9x^2+16 ?

The solutions to the equation 16+x^3=9x^2+16 are x=0,x=9

Find the zeros of 16+x^3=9x^2+16

The zeros of 16+x^3=9x^2+16 are x=0,x=9

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16 + x^{3} = 9 x^{2} + 16

x = 0, x = 9

Solution steps

16 + x^{3} = 9 x^{2} + 16

Move

16

to the right side

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

Move

9 x^{2}

to the left side

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

Factor

x^{3} - 9 x^{2} : x^{2} (x - 9)

x^{2} (x - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 9 = 0

Solve

x - 9 = 0 : x = 9

The solutions are

x = 0, x = 9

x - 2 x^{3} = 0

625 x^{4} + 225 x^{3} + x^{2} + 18 x = 0

x^{3} + 54 x = 0

w^{3} = - 2 + 2 i 3

10 x^{4} - 3 x^{2} - 1 = 0

What are the solutions to the equation 16+x^3=9x^2+16 ?
The solutions to the equation 16+x^3=9x^2+16 are x=0,x=9
Find the zeros of 16+x^3=9x^2+16
The zeros of 16+x^3=9x^2+16 are x=0,x=9