Question 292619
{{{sqrt(4z+12)= sqrt(9z-11)}}}
Square both sides.
{{{4z+12=9z-11}}}
{{{-5z=-23}}}
{{{z=23/5}}}
Verify the solution.
{{{sqrt(4z+12)= sqrt(9z-11)}}}
{{{sqrt(4(23/5)+12)= sqrt(9(23/5)-11)}}}
{{{sqrt(92/5+60/5)= sqrt(207/5-55/5)}}}
{{{sqrt((92+60)/5)= sqrt((207-55)/5)}}}
{{{sqrt(152/5)= sqrt(152/5)}}}
Leads to a true statement, hence it's a good solution.