SOLUTION: x^2=5x-1 Solve by any method

Question 87585: x^2=5x-1
Solve by any method
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Get everything to one side

Now let's use the quadratic formula to solve for x:
Starting with the general quadratic

the general form of the quadratic equation is:

So lets solve

Plug in a=1, b=-5, and c=1

Square -5 to get 25

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root

Multiply 2 and 1 to get 2

So now the expression breaks down into two parts

or

Which approximate to

or

So our solutions are:
or

Notice when we graph we get:

when we use the root finder feature on a calculator, we find that and .So this verifies our answer
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