Question

Solving Radical Equations
√x+2(end of sqrt)+4=x

Answer 1

The first thing that comes to mind is to subtract 4 from each side so that the radical is by itself on the left side. So do this first.

Answer 2

\[\sqrt{x+2} + 4 = x\]

is it like this

Answer 3

Next we should square each side to get rid of the radical. You are going to have to do (x-4)(x-4) on the right

Answer 4

Now that teh radical is gone, we can group like terms, set it equal to zero, and either factor of use the quadratic to solve for x

Answer 5

or**

Answer 6

\[\sqrt{x+2} = x-4\]

Square Both Sides

\[x+2 = (x-4)^2\]

Answer 7

\[x+ 2 = x^2 -8x + 16\]

\[x^2 - 9x +14 = 0\]

Now Find X usind Quadratic Formula