Find the Discriminant -x^2-14x+2=0

$- x^{2} - 14 x + 2 = 0$

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 $c$ .

${(- 14)}^{2} - 4 (- 1 \cdot 2)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 14$ to the power of $2$ .

$196 - 4 (- 1 \cdot 2)$

Multiply $- 4 (- 1 \cdot 2)$ .

Multiply $- 1$ by $2$ .

$196 - 4 \cdot - 2$

Multiply $- 4$ by $- 2$ .

$196 + 8$

Add $196$ and $8$ .

$204$