SOLUTION: please help me solve this equation using the quadratic formula {{{2x^2-3x=2}}} 2x*1=2 2=2

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Question 5195: please help me solve this equation using the quadratic formula
2x%5E2-3x=2
2x*1=2
2=2
Found 4 solutions by ichudov, quanika, nia50041, Igboze:
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
First, move 2 to the LEFT side of equation by subtracting 2 from both sides:
2x%5E2-3x-2=0
Solve it using my quadratic equation solver:
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 2x%5E2%2B-3x%2B-2+=+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=%28-3%29%5E2-4%2A2%2A-2=25.

Discriminant d=25 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--3%2B-sqrt%28+25+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-3%29%2Bsqrt%28+25+%29%29%2F2%5C2+=+2
x%5B2%5D+=+%28-%28-3%29-sqrt%28+25+%29%29%2F2%5C2+=+-0.5

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

Answer by quanika(1) About Me  (Show Source):
Answer by nia50041(1) About Me  (Show Source):
You can put this solution on YOUR website!
14 duuuuuuuuuuuuuu

Answer by Igboze(1) About Me  (Show Source):
You can put this solution on YOUR website!
2x2-3x=2
x=2 or x=1/2