Find the Discriminant 2x^2+x+3=0

$2 x^{2} + x + 3 = 0$

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 $c$ .

$1^{2} - 4 (2 \cdot 3)$

Evaluate the result to find the discriminant.

Simplify each term.

One to any power is one.

$1 - 4 (2 \cdot 3)$

Multiply $2$ by $3$ .

$1 - 4 \cdot 6$

Multiply $- 4$ by $6$ .

$1 - 24$

Subtract $24$ from $1$ .

$- 23$