Question

what is the solution set √2-x=x

Answer 1

Firstly get rid of the root by squaring both sides.

Answer 2

√(2-x)=x

square both sides (raise each side to the second power)

Answer 3

For example, if you had the following problem....

√ ( 4-b ) = b

Solution:
√ ( 4-b ) = b raise each side to the second power....

raising the left side to the second power: √( 4-b ) --> √( 4-b ) ² = 4 - b
raising the right side to the second power: b ---> b²

So, after you raise both sides to 2nd power, you will get

4 - b = b²

Answer 4

@tracyvsavage: student_basil has provided an example for you to follow, please respond.