SOLUTION: Solve 8m^2=3-2m

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Question 932312: Solve
8m^2=3-2m
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
+8m%5E2+=3-2m
move -2m to the left
+8m%5E2%2B2m++=3
move 3 to the left
+8m%5E2%2B2m-3+=0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation am%5E2%2Bbm%2Bc=0 (in our case 8m%5E2%2B2m%2B-3+=+0) has the following solutons:

m%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%2A8%2A-3=100.

Discriminant d=100 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-2%2B-sqrt%28+100+%29%29%2F2%5Ca.

m%5B1%5D+=+%28-%282%29%2Bsqrt%28+100+%29%29%2F2%5C8+=+0.5
m%5B2%5D+=+%28-%282%29-sqrt%28+100+%29%29%2F2%5C8+=+-0.75

Quadratic expression 8m%5E2%2B2m%2B-3 can be factored:
8m%5E2%2B2m%2B-3+=+8%28m-0.5%29%2A%28m--0.75%29
Again, the answer is: 0.5, -0.75. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+8%2Ax%5E2%2B2%2Ax%2B-3+%29