What are the solution sets of the following 3 problems,the square root of x squared + 3x = x-3, the square root of 3x + 10 = x + 4 and finally the square root of 8x - 2 = the square root of 2x? Help much appriciated.

I will one as an example.

sqrt(3x + 10) =x+4 I hope that is what you meant. When you don't use parenthesis in problems it can lead ot miscommunications.

square both sides:
3x + 10 = x^2 + 8x + 16
gathering terms then
x^2 + 5x +6 =0
(x+3)(x+2)=0
x= -2 9r x=-3

I will be happy to critique your work thinking on the others.

I believe that the answer to the square root of x^2 + 3x = x-3 is X = 3, x=-3 but I'm not sure. I believe the answer to the square root of 8x -2 = the square root of 2x is x=2 again I'm not sure.

I believe that the answer to the square root of x^2 + 3x = x-3 is X = 3, x=-3 but I'm not sure. I believe the answer to the square root of 8x -2 = the square root of 2x is x=2 again I'm not sure.

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