What are the solutions to the equation solvefor x,f(x^3)=x^2 ?

The solutions to the equation solvefor x,f(x^3)=x^2 are x=0,x= 1/f ;\quad f\ne 0

Find the zeros of solvefor x,f(x^3)=x^2

The zeros of solvefor x,f(x^3)=x^2 are x=0,x= 1/f ;\quad f\ne 0

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solve for

x, f (x^{3}) = x^{2}

x = 0, x = \frac{1}{f}; f \neq = 0

Solution steps

f (x^{3}) = x^{2}

Refine

x^{3} f = x^{2}

Move

x^{2}

to the left side

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x f - 1 = 0

Solve

x f - 1 = 0 : x = \frac{1}{f}; f \neq = 0

The solutions are

x = 0, x = \frac{1}{f}; f \neq = 0

x = x^{4} - 1

x, x^{4} - 8 x^{2} + 7 = 0

x^{1} + x^{2} + x^{3} = 1

y^{4} + 2 y^{2} + 1 = 0

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

What are the solutions to the equation solvefor x,f(x^3)=x^2 ?
The solutions to the equation solvefor x,f(x^3)=x^2 are x=0,x= 1/f ;\quad f\ne 0
Find the zeros of solvefor x,f(x^3)=x^2
The zeros of solvefor x,f(x^3)=x^2 are x=0,x= 1/f ;\quad f\ne 0