SOLUTION: Solve 5x^2 + 1= 5x

Question 82875: Solve 5x^2 + 1= 5x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Subtract 5x from both sides

Rearrange the terms in form

Now we can use the quadratic formula to solve for x:

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=5 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.723606797749979, 0.276393202250021. Here's your graph:

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