Question

Solve the equation in the attached image by substitution.

Answer 1

hmmmm
\[x^{3/2} - 8x ^{-3/2}=7\]
\[x ^{3/2}-\frac{ 1 }{ 8x^{3/2} }=7\]

Answer 2

\[Let u=x^{3/2}\]

Answer 3

Does this sound like what you are working with?

Answer 4

8 should be in numerator

Answer 5

so
\[u-\frac{ 8 }{ u }=7\]

Answer 6

common denominator = u
\[u[u-\frac{ 8 }{ u }=7]\]

Answer 7

agreed?