SOLUTION: please help me solve this equation y=x^2-10x+2

Question 190707: please help me solve this equation
y=x^2-10x+2
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
please help me solve this equation
y=x^2-10x+2
If you want to solve for x, set it to zero, that is,
x^2 - 10x + 2 = 0

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=92 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 9.79583152331272, 0.204168476687281. Here's your graph:

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The solutions are:
5 + sqrt(23)
5 - sqrt(23)

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