exam Maths Puzzle Numerical Ability

Solve the equation. Check for extraneous solutions.
sqaure root of x+3 = sqaure root of 2x-7

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exam Other Question

3(x+4)-6x=2(4-2x) I am taking a college calculus class afterm some time off and I cannot remember how to solve simplify a polynomial with division.

It is as follows: [(x+3/x+1)-2]/(x-1). What are the rules to remember and how would I begin solving this?