Question

How do you find all the solutions for x in the equation (x^2+6)^2/3=16

Answer 1

raise both sides to the 3/2 power

Answer 2

you will get
\[x^2+6=16^\frac{3}{2}\]

Answer 3

square root of 16 is 4
4^3=64
so we have
\[x^2+6=64\]

Answer 4

i will leave the rest to you

Answer 5

let me know if you run into trouble

Answer 6

actually i think we can say plus or minus

Answer 7

\[x^2+6=\pm 64\]

Answer 8

but you should check both solutions to make sure they are actually solutions

Answer 9

\[(x^{2}+6)^{2/3}=16\] this is the actual equation, sorry

Answer 10

ok that is what i thought it was lol