SOLUTION: 6x^2=35-11x

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Question 932442: 6x^2=35-11x
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
6x%5E2=35-11x
Move 35-11x to the left
6x%5E2%2B11x-35=0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 6x%5E2%2B11x%2B-35+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%2811%29%5E2-4%2A6%2A-35=961.

Discriminant d=961 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-11%2B-sqrt%28+961+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%2811%29%2Bsqrt%28+961+%29%29%2F2%5C6+=+1.66666666666667
x%5B2%5D+=+%28-%2811%29-sqrt%28+961+%29%29%2F2%5C6+=+-3.5

Quadratic expression 6x%5E2%2B11x%2B-35 can be factored:
6x%5E2%2B11x%2B-35+=+6%28x-1.66666666666667%29%2A%28x--3.5%29
Again, the answer is: 1.66666666666667, -3.5. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+6%2Ax%5E2%2B11%2Ax%2B-35+%29