Solve 4 \sqrt 6x^4=8

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Type your math problem... 4 \sqrt 6x^4=8

Question

Solve the equation

x = \frac{2}{6}

Alternative Form

x \approx 0.235702

Evaluate

4 (6 x)^{4} = 8

Find the domain

More Steps

Evaluate

6 x \geq 0

Rewrite the expression

x \geq 0

4 (6 x)^{4} = 8, x \geq 0

Multiply the terms

More Steps

Evaluate

4 (6 x)^{4}

Rewrite the expression

4 \times 36 x^{2}

Multiply the numbers

144 x^{2}

144 x^{2} = 8

Divide both sides

\frac{144 x ^{2}}{144} = \frac{8}{144}

Divide the numbers

x^{2} = \frac{1}{18}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm \frac{1}{18}

Simplify the expression

x = \pm \frac{2}{6}

Separate the equation into 2 possible cases

x = \frac{2}{6} x = - \frac{2}{6}

Check if the solution is in the defined range

x = \frac{2}{6} x = - \frac{2}{6}, x \geq 0

Find the intersection of the solution and the defined range

x = \frac{2}{6}

Solution

More Steps

Check the solution

4 6 \times \frac{2}{6}^{4} = 8

Simplify

8 = 8

Evaluate

true

x = \frac{2}{6}

Alternative Form

x \approx 0.235702

Show Solution

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