SOLUTION: Solve by factoring: 9t2 − 48t + 64 = 0

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Question 639340: Solve by factoring:
9t2 − 48t + 64 = 0
Answer by reviewermath(1029) 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 9x%5E2%2B-48x%2B64+=+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=%28-48%29%5E2-4%2A9%2A64=0.

Discriminant d=0 is zero! That means that there is only one solution: x+=+%28-%28-48%29%29%2F2%5C9.
Expression can be factored: 9x%5E2%2B-48x%2B64+=+9%28x-2.66666666666667%29%2A%28x-2.66666666666667%29

Again, the answer is: 2.66666666666667, 2.66666666666667. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+9%2Ax%5E2%2B-48%2Ax%2B64+%29