Question

x^(2/3) - 100=0
Help me solve this please!

Answer 1

\[x^{2/3}-100=0\]
\[x^{2/3}=100\]
\[(x^{2/3})^3=100^3\]
\[x^2=1,000,000\]
\[\sqrt{x^2}=\sqrt{1,000,000}\]
\[x=1000\]

Answer 2

Thank you! that's what i thought... i put x=1000 as an answer on my test and i got marked wrong, as well as many of my friends with the same answer.

Answer 3

I think you got it marked wrong, which I left this out of the answer by mistake, but when you are solving for x, after you take the square root, x=+/- 1000 because 1000 and -1000 both satisfy the equation. Sorry bout that.

Answer 4

ohh that makes sense. whoops, oh well.
thanks for your help though