SOLUTION: What is the solution set of the equation x^2+2x-15=0? thanks for your help.

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Question 602526: What is the solution set of the equation x^2+2x-15=0?

thanks for your help.

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


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


Square to get .


Multiply to get


Rewrite as


Add to 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

This means that the solution set is {3,-5}

Note: order of the solutions doesn't matter as you can also write the solution set as {-5,3}

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