SOLUTION: Find the exact solution to 6x^2+1= -8x by using the Quadratic Formula. A.) -4±√10 B.) (-4±√22)/6 C.) (-2±2√10)/3 D.) (-4±√10)/6

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Question 352265: Find the exact solution to 6x^2+1= -8x by using the Quadratic Formula.
A.) -4±√10
B.) (-4±√22)/6
C.) (-2±2√10)/3
D.) (-4±√10)/6
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Add 8x to both sides.


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


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.


or Reduce.


So the answers are or


So the answer choice is D)
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