Find the Discriminant 8x^2+10x+2=0

$8 x^{2} + 10 x + 2 = 0$

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 $c$ .

$10^{2} - 4 (8 \cdot 2)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $10$ to the power of $2$ .

$100 - 4 (8 \cdot 2)$

Multiply $- 4 (8 \cdot 2)$ .

Multiply $8$ by $2$ .

$100 - 4 \cdot 16$

Multiply $- 4$ by $16$ .

$100 - 64$

Subtract $64$ from $100$ .

$36$