Solve? $8 x^{4} = x$ $8x^4=x$

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Solve? $8 x^{4} = x$ $8x^4=x$

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Answer 1 · 2017-03-04T01:58:07

$x = \frac{1}{2}$ $x=1/2$

Explanation:

We have

$8 x^{4} = x$ $8x^4=x$

We can first divide through by $x$ $x$ :

$8 x^{3} = 1$ $8x^3=1$

Let's now divide through by 8:

$x^{3} = \frac{1}{8}$ $x^3=1/8$

Let's now take a second to see what we have. First remember that $8 = 2^{3}$ $8=2^3$ and so $\frac{1}{8} = \frac{1}{2^{3}}$ $1/8=1/2^3$ . Let's substitute that in:

$x^{3} = \frac{1}{2^{3}}$ $x^3=1/2^3$

We can now take the cube root:

$\sqrt[3]{x^{3}} = \sqrt[3]{\frac{1}{2^{3}}}$ $root(3)(x^3)=root(3)(1/2^3)$

$x = \frac{1}{2}$ $x=1/2$

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Solve? $8 x^{4} = x$ $8x^4=x$

1 Answer

Explanation:

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