Find the Discriminant 2x^2-x-6=0

$2 x^{2} - x - 6 = 0$

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

$b^{2} - 4 (a c)$

Substitute in the values of $a$ , $b$ , and $c$ .

${(- 1)}^{2} - 4 (2 \cdot - 6)$

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 1$ to the power of $2$ .

$1 - 4 (2 \cdot - 6)$

Multiply $2$ by $- 6$ .

$1 - 4 \cdot - 12$

Multiply $- 4$ by $- 12$ .

$1 + 48$

Add $1$ and $48$ .

$49$