SOLUTION: 4x^-16x+16=0

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Question 519794: 4x^-16x+16=0
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
4x^-16x+16=0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 4x%5E2%2B-16x%2B16+=+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=%28-16%29%5E2-4%2A4%2A16=0.

Discriminant d=0 is zero! That means that there is only one solution: x+=+%28-%28-16%29%29%2F2%5C4.
Expression can be factored: 4x%5E2%2B-16x%2B16+=+4%28x-2%29%2A%28x-2%29

Again, the answer is: 2, 2. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+4%2Ax%5E2%2B-16%2Ax%2B16+%29