What are the solutions to the equation 15+x^3=4x^2+15 ?

The solutions to the equation 15+x^3=4x^2+15 are x=0,x=4

Find the zeros of 15+x^3=4x^2+15

The zeros of 15+x^3=4x^2+15 are x=0,x=4

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15 + x^{3} = 4 x^{2} + 15

x = 0, x = 4

Solution steps

15 + x^{3} = 4 x^{2} + 15

Move

15

to the right side

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

Move

4 x^{2}

to the left side

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

Factor

x^{3} - 4 x^{2} : x^{2} (x - 4)

x^{2} (x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 4 = 0

Solve

x - 4 = 0 : x = 4

The solutions are

x = 0, x = 4

x^{4} = (x - 2) 6

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

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

3 x^{3} + x^{2} - 38 x + 24 = 0

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

What are the solutions to the equation 15+x^3=4x^2+15 ?
The solutions to the equation 15+x^3=4x^2+15 are x=0,x=4
Find the zeros of 15+x^3=4x^2+15
The zeros of 15+x^3=4x^2+15 are x=0,x=4