Question

Please help me
"Solve square root of the quantity x minus three equals square root of two minus square root of x for x"

A:25/8
B:no solution
C:-25/8
D:1/8

Answer 1

\(\normalsize\color{blue}{ \sqrt{x-3}= \sqrt{2} - \sqrt{x} }\) like this ?

Answer 2

Yes

Answer 3

\(\normalsize\color{blue}{ \sqrt{x-3}= \sqrt{2} - \sqrt{x} }\) square both sides, and you get

\(\normalsize\color{blue}{ x-3= 2 - \sqrt{2x} +x }\)

\(\normalsize\color{blue}{ x-3\color{red}{ -2-x }= 2 - \sqrt{2x} +x \color{red}{ -2-x } }\)

\(\normalsize\color{blue}{ -5= - \sqrt{2x} }\)

\(\normalsize\color{blue}{ 25= 2x }\)

Answer 4

\(\normalsize\color{blue}{ x=? }\)

Answer 5

The equation was suppose to solve for x, no x value was given.

Answer 6

does that mean the answer is B, no solution?