Find the Discriminant 2x^2+6x+5=0

$2 x^{2} + 6 x + 5 = 0$

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 $c$ .

$6^{2} - 4 (2 \cdot 5)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $6$ to the power of $2$ .

$36 - 4 (2 \cdot 5)$

Multiply $- 4 (2 \cdot 5)$ .

Multiply $2$ by $5$ .

$36 - 4 \cdot 10$

Multiply $- 4$ by $10$ .

$36 - 40$

Subtract $40$ from $36$ .

$- 4$