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

Algebra ->  Rational-functions -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!

3x%5E2%2Bx=-9 Start with the given equation.


3x%5E2%2Bx%2B9=0 Get every term to the left side.


Notice that the quadratic 3x%5E2%2Bx%2B9 is in the form of Ax%5E2%2BBx%2BC where A=3, B=1, and C=9


Let's use the quadratic formula to solve for "x":


x+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 Start with the quadratic formula


x+=+%28-%281%29+%2B-+sqrt%28+%281%29%5E2-4%283%29%289%29+%29%29%2F%282%283%29%29 Plug in A=3, B=1, and C=9


x+=+%28-1+%2B-+sqrt%28+1-4%283%29%289%29+%29%29%2F%282%283%29%29 Square 1 to get 1.


x+=+%28-1+%2B-+sqrt%28+1-108+%29%29%2F%282%283%29%29 Multiply 4%283%29%289%29 to get 108


x+=+%28-1+%2B-+sqrt%28+-107+%29%29%2F%282%283%29%29 Subtract 108 from 1 to get -107


x+=+%28-1+%2B-+sqrt%28+-107+%29%29%2F%286%29 Multiply 2 and 3 to get 6.


x+=+%28-1+%2B-+i%2Asqrt%28107%29%29%2F%286%29 Simplify the square root (note: If you need help with simplifying square roots, check out this solver)


x+=+%28-1%2Bi%2Asqrt%28107%29%29%2F%286%29 or x+=+%28-1-i%2Asqrt%28107%29%29%2F%286%29 Break up the expression.


So the solutions are x+=+%28-1%2Bi%2Asqrt%28107%29%29%2F%286%29 or x+=+%28-1-i%2Asqrt%28107%29%29%2F%286%29