Question

How do you solve `2sqrt(x+4) -1 = x`?

Answer 1

2`sqrt(x+4)`= x+1, Square both sides,

4(x+4)= x^2 +2x+1. Simplify this to get,
`x^2` -2x- 15=0. Now factorise this,
(x-5)(x+3)=0
That gives x= 5 as the required solution. x=-3 does not satisfy the given equation, hence that has to be rejected.
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