What is the solution to the equation square root 2x + 6 - square root x + 4 = 1

ra

x = 5

Step-by-step explanation:

Original equation = - = 1

Remove square roots

+ 2x +1 = 4x +16

Subtract 16 from both sides

+ 2x +1 = 4x +16

           -16       -16

---------------------------

 + 2x- 15= 4x

Subtract 4x from both sides

+ 2x - 15 - 4x= 4x - 4x

= - 2x - 15 = 0

THIS EQUATION HAS 2 rational roots. {x1,x2} = {5,-3}

CHECK THAT THE FIRST SOLUTION IS CORRECT (5)

    Original equation, root isolated, after tidy up

  =

     Plug in 5 for  x

=

        Simplify

      = 4

  Solution checks !!

     Solution is: x = 5

CHECK THAT THE SECOND SOLUTION IS CORRECT (-3)

 Original equation, root isolated, after tidy up

  =

   Plug in  -3 for  x

  =

       Simplify

= 2

 Solution does not check

          0 ≠ 2

   So, the answer is x = 5

Hope this helps!