Answer
True
Work Step by Step
$\sqrt {x+10}=\sqrt {x-10},$
squaring both sides of the equation...
$x+10=x-10,$
substracting $x$ from both sides..
$x-x+10=x-x-10,$
$10=-10,$
Thus, $10\ne-10$. Therefore, the equation has no solution. The given statement is true.