exam Maths Puzzle Numerical Ability

Solve algebraically?
Solve algebraically and check your potential solutions:
squareroot(x+2) -x=0
I know that the answers are x=2, x=How do I know for sure they are correct after checking them. X=2 works out but x=-1 is funny. Thanks

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exam Other Question

solve and check the equation for x

5/x+6 + 2/x^2+7x+6 = 3/x+1
How do you write an equation in slope-intercept form of the line satisfying the given conditions.
Passes through (10,-3) and has a y-intercept of 2.