Question

Solve the equation. (Round your answer to three decimal places if necessary.)
x2/5+5x1/5=-6

Answer 1

this is a quadratic equation in
\[x^{\frac{1}{5}}\]

Answer 2

put say
\[z=x^{\frac{1}{5}}\] and get
\[z^2+5z=-6\]
\[z^2+5z+6=1\]
\[(z+3)(z+2)=0\]
\[z=-3, z=-2\]

Answer 3

thens solve
\[x^{\frac{1}{5}}=-3\]
\[x=(-3)^5\] etc