Question

If 1+x = √2(1-x) , then x=?

Answer 1

Answer:

1+x = √2(1-x)

Squearing both sides, we get

( 1+x ) ^ 2 = [√2(1-x) ]^2

1 + 2x + x^2 = 2(1 + x)

1 + 2x + x^2 = 2 + 2x

1 + x^2 = 2

x^2 = 1

x = 1 or x = -1

Step-by-step explanation:

Answer 2

Answer:

= 3 - 2√2

Step-by-step explanation:

given : 1+x = √2(1-x)

1 + x = √2-√2.x

x + √2.x = -1 + √2

x(1 + √2 )= x(√2 + 1) = √2 - 1

x = (√2 -1)/(√2+1) . (√2 -1)/(√2 -1)

= (√2 - 1)²/(√2²-1²)

= 2+1-2√2/1= 3-2√2