Can someone help me solve this equation?/

[SQRT(2x2 + 5x + 6)]=x

3 answers

Square both sides:
2x^2 + 5x + 6 = x^2
x^2 + 5x + 6 = 0
(x+2)(x+3) = 0

x = -2 or x=-3

BUT, since we squared, all answers must be verified in the original equation
Neither works, so there is no solution.

had your equation been
√(2x2 - 5x + 6)]=x

the solution would have been
x = 2 or x=3 and both of those would have verified.
Thank you.

Also can you show me how I would do this equation??

2[SQRT(x + 4)] = 3
same way
square both sides
4(x+4) = 9
4x+16 = 9
4x = -7
x = -7/4

when verifying it worked.