SOLUTION: solve, step by step √(x+5)+√(2x+3)=9
√=square root
( )=what is under the square roots
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Question 186671: solve, step by step √(x+5)+√(2x+3)=9
√=square root
( )=what is under the square roots
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.
Subtract from both sides.
Square both sides
FOIL
Combine like terms.
Subtract 84 from both sides. Subtract 2x from both sides.
Combine like terms.
Square both sides
FOIL and square the right side
Distribute
Get everything to the left side.
Combine like terms.
Notice we have a quadratic equation 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 possible answers are or
However, if you plug in , the original equation will NOT be true. So is NOT a solution
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Answer:
So the solution is
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