Question 77196
{{{( sqrt(50+7k) )}}}={{{(x+8)}}}
{{{( (sqrt(50+7k))^2 )}}}={{{(x+8)^2}}}  [square both sides]
{{{( (50+7k) )}}}={{{(k+8)(k+8)}}}
{{{( (50+7k) )}}}={{{(k^2+16k+64))}}}
{{{( 0)}}}={{{(k^2+16k-7k+64-50))}}}
{{{( 0)}}}={{{(k^2+9k+14))}}}
0=(k+7)(k+2)
k+7=0
k=-7
or
k+2=0
k=-2
.
check by plugging k=-7 and k=-2 back into the orignal equation and solve for each value.