SOLUTION: Can someone explain how to solve the following problem? 2x^2 + 1 = 5x

Question 275248: Can someone explain how to solve the following problem?
2x^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.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

or Break up the expression.

So the solutions are or

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