Question

Solve sqrt 3-5x= sqrt x+2 what is the value of x

Answer 1

A- 1/6

Explanation:

GOT IT RIGHT ON EDGE

Answer 2

`x=(1)/(6)`

Explanation:

`√(3-5x)=√(x+2)\\Square\:both\:sides\\\left(√(3-5x)\right)^2=\left(√(x+2)\right)^2\\\mathrm{Expand\:}\left(√(3-5x)\right)^2:\quad 3-5x\\\mathrm{Expand\:}\left(√(x+2)\right)^2:\quad x+2\\3-5x=x+2\\\mathrm{Solve\:}\:3-5x=x+2:\quad x=(1)/(6)\\x=(1)/(6)\\\mathrm{Verify\:Solutions}:\quad x=(1)/(6)\space\mathrm{True}\\\mathrm{The\:solution\:is}\\x=(1)/(6)`