Find the Discriminant 7x^2+11x-6=0

$7 x^{2} + 11 x - 6 = 0$

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 $c$ .

$11^{2} - 4 (7 \cdot - 6)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $11$ to the power of $2$ .

$121 - 4 (7 \cdot - 6)$

Multiply $- 4 (7 \cdot - 6)$ .

Multiply $7$ by $- 6$ .

$121 - 4 \cdot - 42$

Multiply $- 4$ by $- 42$ .

$121 + 168$

Add $121$ and $168$ .

$289$