What is the answer to (20x^5)/(4x^2)=x ?

The answer to (20x^5)/(4x^2)=x is x=-1/(sqrt(5)),x= 1/(sqrt(5))

Solve for x: (20x^5)/(4x^2)=x

The solution is x=-1/(sqrt(5)),x= 1/(sqrt(5))

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\frac{20 x ^{5}}{4 x ^{2}} = x

x = - \frac{1}{5}, x = \frac{1}{5}

Decimal Notation

x = - 0.4472135955, x = 0.4472135955

Solution steps

\frac{20 x ^{5}}{4 x ^{2}} = x

Simplify

\frac{20 x ^{5}}{4 x ^{2}} : 5 x^{3}

5 x^{3} = x

Solve

5 x^{3} = x : x = 0, x = - \frac{1}{5}, x = \frac{1}{5}

x = 0, x = - \frac{1}{5}, x = \frac{1}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = - \frac{1}{5}, x = \frac{1}{5}

\frac{2}{x} = \frac{15}{30}

\frac{2}{x} = \frac{x}{2}

\frac{9 x}{7 - 6 x} = 15

x^{- 3} = \frac{1}{8}

\frac{3}{a + 3} - \frac{1}{a - 2} = 5

What is the answer to (20x^5)/(4x^2)=x ?
The answer to (20x^5)/(4x^2)=x is x=-1/(sqrt(5)),x= 1/(sqrt(5))
Solve for x: (20x^5)/(4x^2)=x
The solution is x=-1/(sqrt(5)),x= 1/(sqrt(5))