SOLUTION: Solve by the quadratic formula: x^2 = -8x + 1

Question 384607: Solve by the quadratic formula: x^2 = -8x + 1
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
x^2 = -8x + 1
x^2 + 8x = 1
x^2 + 8x - 1 = 0
.
applying the quadratic formula yields:
x = {0.123, -8.123}
.
Details follow:

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=68 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.123105625617661, -8.12310562561766. Here's your graph:

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