SOLUTION: Help! Solve the equation. Square root 2x+5 minus square root x-2 = 3 What?

Question 249025: Help!
Solve the equation.
Square root 2x+5 minus square root x-2 = 3
What?

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Add to both sides.

Square both sides.

Square the square root on the left side to eliminate it.

Expand

FOIL

Multiply

Square the last square root on the right side to eliminate it.

Combine like terms.

Move all non square root terms to one side.

Combine like terms.

Square both sides.

Square to get

FOIL

Distribute

Get every term to the left side.

Combine like terms.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solutions are or
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