SOLUTION: 4^2X+1=X^2 solve

Question 944900: 4^2X+1=X^2 solve
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
4^2X+1=X^2 solve
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16x+1 = x^2
x^2 - 16x - 1 = 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=260 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 16.0622577482985, -0.0622577482985491. Here's your graph:

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