Find the Discriminant x^2-26x+169=0

$x^{2} - 26 x + 169 = 0$

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 $c$ .

${(- 26)}^{2} - 4 (1 \cdot 169)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 26$ to the power of $2$ .

$676 - 4 (1 \cdot 169)$

Multiply $- 4 (1 \cdot 169)$ .

Multiply $169$ by $1$ .

$676 - 4 \cdot 169$

Multiply $- 4$ by $169$ .

$676 - 676$

Subtract $676$ from $676$ .

$0$