Find the Discriminant x^2-28x+196=0

$x^{2} - 28 x + 196 = 0$

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 $c$ .

${(- 28)}^{2} - 4 (1 \cdot 196)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 28$ to the power of $2$ .

$784 - 4 (1 \cdot 196)$

Multiply $- 4 (1 \cdot 196)$ .

Multiply $196$ by $1$ .

$784 - 4 \cdot 196$

Multiply $- 4$ by $196$ .

$784 - 784$

Subtract $784$ from $784$ .

$0$