Find the Discriminant f(x)=x^2-3x+18

$f (x) = x^{2} - 3 x + 18$

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 $c$ .

${(- 3)}^{2} - 4 (1 \cdot 18)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 3$ to the power of $2$ .

$9 - 4 (1 \cdot 18)$

Multiply $- 4 (1 \cdot 18)$ .

Multiply $18$ by $1$ .

$9 - 4 \cdot 18$

Multiply $- 4$ by $18$ .

$9 - 72$

Subtract $72$ from $9$ .

$- 63$