Find the Discriminant 5x^2-6x=0

$5 x^{2} - 6 x = 0$

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 $c$ .

${(- 6)}^{2} - 4 (5 \cdot 0)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 6$ to the power of $2$ .

$36 - 4 (5 \cdot 0)$

Multiply $- 4 (5 \cdot 0)$ .

Multiply $5$ by $0$ .

$36 - 4 \cdot 0$

Multiply $- 4$ by $0$ .

$36 + 0$

Add $36$ and $0$ .

$36$