Find the Discriminant y=-2x^2+x+2

$y = - 2 x^{2} + x + 2$

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 $c$ .

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

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

One to any power is one.

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

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

Multiply $- 2$ by $2$ .

$1 - 4 \cdot - 4$

Multiply $- 4$ by $- 4$ .

$1 + 16$

Add $1$ and $16$ .

$17$