Question

√2x+13 = √x+31 what is the answer

Answer 1

Answer:

Step-by-step explanation:

Note that √2x = √2*√x, and so we have √2*√x + 13 = √x + 31.

First subtract 13 from both sides, obtaining:  √2*√x = √x + 18.

Next, group the √x terms together:  √2*√x - √x = 18.

Now solve this for √x.  We get:

√x(√2 - 1) = 18, or

               18

√x = --------------

          (√2 - 1)

To find x, square both sides:

       

        18^2

x = ---------------

      (√2 - 1)^2