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

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

Step 1

Subtract $6$ from both sides of the equation.

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

Step 2

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

$b^{2} - 4 (a c)$

Step 3

Substitute in the values of $a$ , $b$ , and $c$ .

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

Step 4

Evaluate the result to find the discriminant.

Simplify each term.

Raise $7$ to the power of $2$ .

$49 - 4 (- 2 \cdot - 6)$

Multiply $- 4 (- 2 \cdot - 6)$ .

Multiply $- 2$ by $- 6$ .

$49 - 4 \cdot 12$

Multiply $- 4$ by $12$ .

$49 - 48$

Subtract $48$ from $49$ .

$1$