Question 1038537
The equation is...
{{{8*sqrt(4*z^2-43)=40}}}
We can begin by dividing both sides by 8...
{{{sqrt(4*z^2-43)=5}}}
and now we square both sides...
{{{4*z^2-43=25}}}
Add 43 to both sides...
{{{4*z^2=68}}}
Divide by 4...
{{{z^2=17}}}
And take the square root...
{{{z=0+-sqrt(17)}}}
Pay no attention to the zero in the equation, I couldn't represent the positive and negative of the solution without it. It is meaningless to the solution.
Check your answer! Plug it into the original equation!
I hope this helps! Learn on