Question

$\sqrt{2x + 7 }= x + 2}$

Answer 1

Answer:

The value of x is 1, -3.

The answer is explained in the image.

Answer 2

$2x+7=(x+2)^2$

$2x+7=(x)^2+(2)^2+2\times2\timesx$$x$

$2x+7=x^2+4+4x$

$0=x^2+4-7+4x-2x$

$x^2+2x-3=0$

$x^2+3x-x-3=0$

$x(x+3)-1(x+3)=0$

$(x+3)(x-1)=0$

$x=-3$

 or

$x=1$

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