book Maths Puzzle Numerical Ability

Solve where x is a real number.

square root of x + 4 = 1 + square root of x - 1

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book Other Question

x+4/2= 2x-3/3 GFC of binomial. I know the GFC is (5-x) but I am not sure how to get the rest of the answer.
3(5-X)^4+2(5-X)^3-(5-X)^2.