What is the answer to ((x^5)/(x^3))^2=x ?

The answer to ((x^5)/(x^3))^2=x is x=1,x=-1/2+(sqrt(3))/2 i,x=-1/2-(sqrt(3))/2 i

Solve for x: ((x^5)/(x^3))^2=x

The solution is x=1,x=-1/2+(sqrt(3))/2 i,x=-1/2-(sqrt(3))/2 i

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(\frac{x ^{5}}{x ^{3}})^{2} = x

x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

Solution steps

(\frac{x ^{5}}{x ^{3}})^{2} = x

Simplify

(\frac{x ^{5}}{x ^{3}})^{2} : x^{4}

x^{4} = x

Solve

x^{4} = x : x = 0, x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

x = 0, x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

\frac{2}{9} = \frac{10}{x}

- f (a) = \frac{8 x - 5}{3 x + 4}

\frac{9}{2} = \frac{8}{n + 3}

\frac{2}{3 x + 5 x} = 4 - x

w, C d = \frac{12 d s}{w}

What is the answer to ((x^5)/(x^3))^2=x ?
The answer to ((x^5)/(x^3))^2=x is x=1,x=-1/2+(sqrt(3))/2 i,x=-1/2-(sqrt(3))/2 i
Solve for x: ((x^5)/(x^3))^2=x
The solution is x=1,x=-1/2+(sqrt(3))/2 i,x=-1/2-(sqrt(3))/2 i