Question

solve √37-xsqauare +5 =x​

Answer 1

Step-by-step explanation:

√(37-x²)=x-5

37-x²=(x-5)²

37-x²=x²-10x+25

2x²-10x-12=0

2x²-12x+2x-12=0

2x(x-6)+2(x-6)=0

(2x+2)(x-6)=0

x=-1 or x=6

Answer 2

Original equation, root isolated, after tidy up

√37 = x+5

Plug in -11.0828 for x

√37 = (-11.0828) +5

Simplify

√37 = -6.083

Solution does not check

6.083 ≠ -6.083. x = 1.0828