Find the Discriminant 9x^2-36x+36=0

$9 x^{2} - 36 x + 36 = 0$

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 $c$ .

${(- 36)}^{2} - 4 (9 \cdot 36)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 36$ to the power of $2$ .

$1296 - 4 (9 \cdot 36)$

Multiply $- 4 (9 \cdot 36)$ .

Multiply $9$ by $36$ .

$1296 - 4 \cdot 324$

Multiply $- 4$ by $324$ .

$1296 - 1296$

Subtract $1296$ from $1296$ .

$0$