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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Question 174719: please help me solve this equation.
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(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation.


Notice we have a quadratic equation 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 .


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

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