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

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

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 $c$ .

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

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

One to any power is one.

$1 - 4 (3 \cdot 2)$

Multiply $- 4 (3 \cdot 2)$ .

Multiply $3$ by $2$ .

$1 - 4 \cdot 6$

Multiply $- 4$ by $6$ .

$1 - 24$

Subtract $24$ from $1$ .

$- 23$