Question

What is the solution of the equation? 2^5 sqrt (x+6)^3 +3 =19

Answer 1

I got that x=-5.37003947. I am not sure that I put everything under the square root that needed to be there so I hope this helps.

Answer 2

`x=-5.37`

Explanation:

The equation is:

`2^5\cdot{√((x+6)^3)}+3=19`

We can simplify by taking over 3 to the left hand side and divide the equation by 2^5 and then squaring both sides to get rid if the square root:

`2^5\cdot{√((x+6)^3)}=19-3`

`√((x+6)^3)=16/2^5`

`(x+6)^3=(0.5)^2`

`(x+6)^3=0.25`

We can take the third root on both sides:

`(x+6)=0.63`

`x=0.63-6=-5.37`