Question

sqrt{x+2} = 6 - sqrt{7x+2}

Answer 1

\[\sqrt{x+2} = 6 - \sqrt{7x+2}\]

Answer 2

square bothe sides

(x+2)=36-12sqrt(7x+2)+(7x+2)
x+2-36-7x-2=-12sqrt(7x+2)
-36-6x=-12sqrt(7x+2) /:(-6)
6+x=2sqrt(7x+2) square both sides
36+12x+x2=4(7x+2)
36+12x+x2 -28x-8=0
x2 -16x +28 =0