SOLUTION: Use the quadratic equation to solve 2x^2-5x=-9 Use i if complex answer. i would appreciate a breakdown of the solution..Thanks

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Question 156773: Use the quadratic equation to solve
2x^2-5x=-9
Use i if complex answer.
i would appreciate a breakdown of the solution..Thanks

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation.


Add 9 to both sides.


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 .


Simplify the square root


or Break up the expression.


So the answers are or


which approximate to or

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