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√x+1 - √x-1 =√2

Răspuns :

Hell0
√x+1 - √x-1 =√2 |^2

(√x+1 - √x-1)^2=2
2x-2√x+1√x-1=2 |-2x
-2√x+1√x-1=2-2x |*(-1)
2√x+1√x-1=2x-2 |^2
(2√x+1√x-1)^2=(2x-2)^2
4(x-1)(x+1)=(2x-2)^2
4x^2-4=4x^2-8x-4
8x-8=0 => x=1

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