Find the Discriminant 5w^2-3=0

$5 w^{2} - 3 = 0$

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 $c$ .

$0^{2} - 4 (5 \cdot - 3)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

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

$0 - 4 (5 \cdot - 3)$

Multiply $- 4 (5 \cdot - 3)$ .

Multiply $5$ by $- 3$ .

$0 - 4 \cdot - 15$

Multiply $- 4$ by $- 15$ .

$0 + 60$

Add $0$ and $60$ .

$60$