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

Answer:

$x=-5.37$

Step-by-step explanation:

The equation is:

$2^5\cdot{\sqrt{(x+6)^3}}+3=19$

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:

$2^5\cdot{\sqrt{(x+6)^3}}=19-3$

$\sqrt{(x+6)^3}=16/2^5$

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

$(x+6)^3=0.25$

We can take the third root on both sides:

$(x+6)=0.63$

$x=0.63-6=-5.37$