What is the discriminant of: x^2-4x+10=0?

Mar 13, 2018

$- 24$

Explanation:

In the quadratic formula $x = \frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$
the discriminant is the value under the radical (square root sign).

The letters $a$, $b$, and $c$ represents the coefficients of each term.

In this case, $a = 1$, $b = - 4$ and $c = 10$

Plug this into the formula:

sqrt((-4)^2-4(1)(10)

$= \sqrt{16 - 40}$

$= \sqrt{- 24}$

The discriminant is $- 24$