How do you solve x^2-x= -1 using the quadratic formula?

1 Answer
Rachel
Jun 5, 2017

1/2+-isqrt(3)/2

Explanation:

We need to solve the equation as standard form (ax^2+bx+c):

x^2-x+1=0

The quadratic formula states that (-color(red)(b))/(2(color(blue)(a))) +-sqrt(color(red)(b)^2-4 xx color(blue)(a) xx color(green)(c))/(2(color(blue)(a))):

(-(color(red)(-1)))/(2(color(blue)(1))) +-sqrt((color(red)(-1))^2-4 xx color(blue)(1) xx color(green)(1))/(2(color(blue)(1)))

1/2 +- sqrt(1-4)/2

1/2 +- sqrt(-3)/2

1/2+-isqrt(3)/2 = x

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