Answer
$a =1, 6$
Work Step by Step
$a = \sqrt {7a-6}$
$a^2 = (\sqrt {7a-6})^2$
$a^2=7a-6$
$a^2-7a+6=7a-6-7a+6$
$(a-6)(a-1) = 0$
$a-6=0$
$a=6$
$a-1=0$
$a=1$
$a^2=7a-6$
$1^2=7*1-6$
$1=7-6$
$1=1$
$a^2=7a-6$
$6^2=7*6-6$
$36 = 42-6$
$36= 36$