SOLUTION:   Solve the following equation by quadratic formula: 36x^2+2x-6=0 Give the answers in ascending order (keep three significant digits): x: ?

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Question 1072435:  
Solve the following equation by quadratic formula:
36x^2+2x-6=0
Give the answers in ascending order (keep three significant digits):
x: ?
Found 2 solutions by rothauserc, Alan3354:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
36x^2 +2x -6 = 0
:
quadratic formula is
:
x = (-b + or - square root(b^2 - 4ac)) / 2a
:
x = (-2 + square root(2^2 - 4 * 36 * (-6)) / (2 * 36) = 0.381
:
x = (-2 - square root(2^2 - 4 * 36 * (-6)) / (2 * 36) = -0.437
:
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x: = -0.437 0.381
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:

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
36x^2+2x-6=0
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 36x%5E2%2B2x%2B-6+=+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=%282%29%5E2-4%2A36%2A-6=868.

Discriminant d=868 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-2%2B-sqrt%28+868+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%282%29%2Bsqrt%28+868+%29%29%2F2%5C36+=+0.38141444062934
x%5B2%5D+=+%28-%282%29-sqrt%28+868+%29%29%2F2%5C36+=+-0.436969996184895

Quadratic expression 36x%5E2%2B2x%2B-6 can be factored:
36x%5E2%2B2x%2B-6+=+%28x-0.38141444062934%29%2A%28x--0.436969996184895%29
Again, the answer is: 0.38141444062934, -0.436969996184895. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+36%2Ax%5E2%2B2%2Ax%2B-6+%29

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The solver says it can be factored, but it can't, and what's shown are not factors.