Question

What is the discriminant of the given equation? X^2-x+2=0

Answer 1

For this case we must find the discriminant of the following quadratic equation:

`x ^ 2-x + 2 = 0`

Its roots will be given by:

`x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}`

Where:

`a = 1\\b = -1\\c = 2`

By definition, the discriminant is given by:

`b ^ 2-4 (a) (c) = (- 1) ^ 2-4 (1) (2) = 1-8 = -7`

Answer:

The discriminant is -7

Answer 2

-7

Explanation:

The equation is in the form

ax^2 +bx +c =0

x^2 -x+2=0

a=1 b=-1 c =2

The discriminant is

b^2-4ac

(-1)^2-4(1)(2)

1-8

-7