Question

How do you solve `5x ^ { \frac { 3} { 2} } + 7= 47`?

Answer 1

See explanation.

Explanation:

The initial equation is:

`5x^(3/2)+7=47`

irst we can subtruct `7` from both sides:

`5x^(3/2)=40`

Now we can divide both sides by `5`

`x^(3/2)=8`

Now if we raise both sides to de second power we get:

`x^3=64`

Final step is to calculate cube root of both sides:

`x=4`

Answer: This equation has one solution `x=4`.