SOLUTION: Use the quadratic formula. 9x^2-12x+4=0

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Question 742459: Use the quadratic formula. 9x^2-12x+4=0
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Use the quadratic formula. 9x^2-12x+4=0
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 9x%5E2%2B-12x%2B4+=+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=%28-12%29%5E2-4%2A9%2A4=0.

Discriminant d=0 is zero! That means that there is only one solution: x+=+%28-%28-12%29%29%2F2%5C9.
Expression can be factored: 9x%5E2%2B-12x%2B4+=+9%28x-0.666666666666667%29%2A%28x-0.666666666666667%29

Again, the answer is: 0.666666666666667, 0.666666666666667. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+9%2Ax%5E2%2B-12%2Ax%2B4+%29

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x = 2/3, 2/3