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

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

Step 1

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

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

Step 2

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

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

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

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

$1 - 4 (2 \cdot 6)$

Multiply $- 4 (2 \cdot 6)$ .

Multiply $2$ by $6$ .

$1 - 4 \cdot 12$

Multiply $- 4$ by $12$ .

$1 - 48$

Subtract $48$ from $1$ .

$- 47$