SOLUTION: SOLVE. 3x^2+x=-9 ANSWER CHOICES A.(1 + i√109)/6 , (1-i√109)/6 B.(1 + i√107)/6 , (1-i√107)/6 C.(-1 + i√107)/6 , (-1-i√107)/6 D.(-1 + i&#8

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Question 595876: SOLVE.
3x^2+x=-9
ANSWER CHOICES
A.(1 + i√109)/6 , (1-i√109)/6
B.(1 + i√107)/6 , (1-i√107)/6
C.(-1 + i√107)/6 , (-1-i√107)/6
D.(-1 + i√109)/6 , (-1-i√109)/6

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


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

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