SOLUTION: solve: x-3/2 = 6/x-2 (use the positive answer)

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Question 550294: solve: x-3/2 = 6/x-2 (use the positive answer)
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
according to above it reads as shown below which i dont think u meant but its what you put down
x-%283%2F2%29+=+%286%2Fx%29-2
x-%283%2F2%29%2B2+=+%286%2Fx%29
x-%283%2F2%29%2B%284%2F2%29+=+%286%2Fx%29
x%28x%2B%281%2F2%29%29+=+%286%2Fx%29%28x%29
%28x%5E2%2B%281%2F2%29x%29+=+%286%29
x%5E2%2B%281%2F2%29x-6=0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B0.5x%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=%280.5%29%5E2-4%2A1%2A-6=24.25.

Discriminant d=24.25 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-0.5%2B-sqrt%28+24.25+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%280.5%29%2Bsqrt%28+24.25+%29%29%2F2%5C1+=+2.21221445044903
x%5B2%5D+=+%28-%280.5%29-sqrt%28+24.25+%29%29%2F2%5C1+=+-2.71221445044903

Quadratic expression 1x%5E2%2B0.5x%2B-6 can be factored:
1x%5E2%2B0.5x%2B-6+=+1%28x-2.21221445044903%29%2A%28x--2.71221445044903%29
Again, the answer is: 2.21221445044903, -2.71221445044903. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B0.5%2Ax%2B-6+%29