Find the Discriminant x^2-5=0

$x^{2} - 5 = 0$

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 $c$ .

$0^{2} - 4 (1 \cdot - 5)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raising $0$ to any positive power yields $0$ .

$0 - 4 (1 \cdot - 5)$

Multiply $- 4 (1 \cdot - 5)$ .

Multiply $- 5$ by $1$ .

$0 - 4 \cdot - 5$

Multiply $- 4$ by $- 5$ .

$0 + 20$

Add $0$ and $20$ .

$20$