Find the Discriminant 4x^2+2x+6

$4 x^{2} + 2 x + 6$

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 $c$ .

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

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

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

$4 - 4 (4 \cdot 6)$

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

Multiply $4$ by $6$ .

$4 - 4 \cdot 24$

Multiply $- 4$ by $24$ .

$4 - 96$

Subtract $96$ from $4$ .

$- 92$