Question 886858
First we solve for x


{{{-7*sqrt(17x-4)=-63}}}


{{{sqrt(17x-4)=-63/(-7)}}}


{{{sqrt(17x-4)=9}}}


{{{(sqrt(17x-4))^2=9^2}}} Square both sides


{{{17x-4=81}}}


{{{17x=81+4}}}


{{{17x=85}}}


{{{x=85/17}}}


{{{x=5}}}



Check:


{{{-7*sqrt(17x-4)=-63}}}


{{{-7*sqrt(17*5-4)=-63}}}


{{{-7*sqrt(85-4)=-63}}}


{{{-7*sqrt(81)=-63}}}


{{{-7*9=-63}}}


{{{-63=-63}}} This equation is true. So the answer is verified.