Question

1+x=√2(1-x), then x=?, please derive

Answer 1

1+x = √2(1-x)

1+x = √2 - √2x

x(1+√2) = √2 - 1

x = √2 -1 / √2 + 1

x = (√2 -1)*(√2-1)/(√2+1)(√2-1)

x = √2^2 + 1 - 2√2 / 2 -1

x = 2 + 1 - 2√2 / 1

x = 3 -2√2/1

x = 3-2√2

Hope it helped you....

Answer 2

the value of X= -2+√5 or -2-√5
see the attached photo for solution........

hope this helps.....
if correct.....
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