We need to reject the negative square root in this case as it would not correspond to a valid equality in the original equation

Thank you. May i check if need to reject any solution?

We reject x = (11 - sqrt 57) / 8.

This value of x will result in 2x - 3 being negative and also result in the term inside the square root being positive.

Subtracting the positive number from the negative number will yield an even more negative answer, which is not what the question needs as the right hand side of the equation is zero and not negative.

Good point
Forgot to chk this. Thanks