SOLUTION: x^2-16x+4=0

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Question 357185: x^2-16x+4=0
Found 2 solutions by stanbon, nerdybill:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
x^2-16x+4=0
Quadratic Formula:
x = [16 +- sqrt(16^2-4*4)]/2
---
x = [16 +- sqrt(240)]/2
---
x = [16 +- 4sqrt(15)]/2
---
x = [8 +- 2sqrt(15)]
===========================
Cheers,
Stan H.

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
x^2-16x+4=0
.
Since you can't factor, you must apply the quadratic formula. Doing so yields:
x = {15.75, 0.25}
.
Details of quadratic follows:
.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=240 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 15.7459666924148, 0.254033307585166. Here's your graph:

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