SOLUTION: x^-3x+2 Solve for x. thank you.

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Question 18732: x^-3x+2 Solve for x. thank you.
Found 2 solutions by xcentaur, Alwayscheerful:
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
x^2-3x+2=0
x^2-x-2x+2=0
x(x-1)-2(x-1)=0
(x-1)(x-2)=0
x-1=0 hence x=1
x-2=0 hence x=2
therefore:
x=1,2


Hope this helps,
Prabhat


Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B-3x%2B2+=+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%2A1%2A2=1.

Discriminant d=1 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--3%2B-sqrt%28+1+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-3%29%2Bsqrt%28+1+%29%29%2F2%5C1+=+2
x%5B2%5D+=+%28-%28-3%29-sqrt%28+1+%29%29%2F2%5C1+=+1

Quadratic expression 1x%5E2%2B-3x%2B2 can be factored:
1x%5E2%2B-3x%2B2+=+1%28x-2%29%2A%28x-1%29
Again, the answer is: 2, 1. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-3%2Ax%2B2+%29

Hope this helps!