Solve? #8x^4=x#

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Answer 1 · 2017-03-04T01:58:07

#x=1/2#

We have

#8x^4=x#

We can first divide through by #x#:

#8x^3=1#

Let's now divide through by 8:

#x^3=1/8#

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

#x^3=1/2^3#

We can now take the cube root:

#root(3)(x^3)=root(3)(1/2^3)#

#x=1/2#