SOLUTION: y-2-8 sqrt(y-2)+15=0

Question 151318: y-2-8 sqrt(y-2)+15=0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Combine like terms.

Subtract 13 from both sides.

Subtract from both sides.

Square both sides.

FOIL

Distribute

Subtract from both sides. Add 128 to both sides.

Combine like terms

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for y

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 our answers are or
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