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

1 Answer
Mar 13, 2018

-24

Explanation:

In the quadratic formula x=(-b+-sqrt(b^2-4ac))/(2a)
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