SOLUTION: Thank you in advance for helping me with this equation. sqrt(-2x-7) + sqrt(x+9)= sqrt(8-x)

Question 144547This question is from textbook
: Thank you in advance for helping me with this equation. sqrt(-2x-7) + sqrt(x+9)= sqrt(8-x) This question is from textbook

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

Square both sides

Foil

Square and multiply

Combine the square roots

Foil

Combine like terms

Add x to both sides. Subtract 2 from both sides.

Combine like terms

Divide both sides by 2

Square both sides

Simplify

Subtract 25 from both sides.

Combine like terms

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for x in each case

So our answers are

or

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