SOLUTION: Solve by using quadratic formula: 4x squared minus 4 x equals -15.

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Question 209757: Solve by using quadratic formula: 4x squared minus 4 x equals -15.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation.


Get every term to the left side.


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


Negate to get .


Square to get .


Multiply to get


Subtract from to get


Multiply and to get .


Simplify the square root (note: If you need help with simplifying square roots, check out this solver)


or Break up the expression.


So the solutions are or


Note: if you have no idea what the 'i' term is, chances are you haven't covered imaginary numbers yet. If so, then there are no solutions. Also, if you weren't expecting this solution, I'd double check the problem.

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