# SOLUTION: please help me solve this equation. directions i was given: use the quadratic formula to solve the equation. x^2-x+1=0

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directions i was given:
use the quadratic formula to solve the equation.
x^2-x+1=0

Found 2 solutions by Mathtut, jim_thompson5910:
Answer by Mathtut(3670)   (Show Source):
You can put this solution on YOUR website!

:

 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 : . The discriminant -3 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -3 is + or - . The solution is , or Here's your graph:

Answer by jim_thompson5910(28545)   (Show Source):
You can put this solution on YOUR website!

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

or Break up the expression.

So the answers are or

which approximate to or