Find the Discriminant x^2-22x+121=0

$x^{2} - 22 x + 121 = 0$

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 $c$ .

${(- 22)}^{2} - 4 (1 \cdot 121)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 22$ to the power of $2$ .

$484 - 4 (1 \cdot 121)$

Multiply $- 4 (1 \cdot 121)$ .

Multiply $121$ by $1$ .

$484 - 4 \cdot 121$

Multiply $- 4$ by $121$ .

$484 - 484$

Subtract $484$ from $484$ .

$0$