Question

If the reciprocal of 1 -x is 1+ x then what number is x ?

• A. √2
• B. 0
• C. 1+ √2
• D. 1- √2

Answer 1

Answer:

B. 0

$\frac{1}{1-x}=1+x$

$1=(1+x)(1-x)$

$1=1^2-x^2$

$0=-x^2$

$x=0$