What are the solutions to the equation 17+x^3=x^2+17 ?

The solutions to the equation 17+x^3=x^2+17 are x=0,x=1

Find the zeros of 17+x^3=x^2+17

The zeros of 17+x^3=x^2+17 are x=0,x=1

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17 + x^{3} = x^{2} + 17

x = 0, x = 1

Solution steps

17 + x^{3} = x^{2} + 17

Move

17

to the right side

x^{3} = x^{2}

Move

x^{2}

to the left side

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

Factor

x^{3} - x^{2} : x^{2} (x - 1)

x^{2} (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0

Solve

x - 1 = 0 : x = 1

The solutions are

x = 0, x = 1

4 x^{3} = 32

3 x^{6} - x^{4} - 12 x^{2} + 4 = 0

m^{3} + 3 m^{2} - 4 m - 12 = 0

16 x^{3} - 48 x^{2} - 25 x + 75 = 0

42 x^{5} - 210 x^{4} = 0

What are the solutions to the equation 17+x^3=x^2+17 ?
The solutions to the equation 17+x^3=x^2+17 are x=0,x=1
Find the zeros of 17+x^3=x^2+17
The zeros of 17+x^3=x^2+17 are x=0,x=1