Find the Discriminant 7x^2-8x=0

$7 x^{2} - 8 x = 0$

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 $c$ .

${(- 8)}^{2} - 4 (7 \cdot 0)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 8$ to the power of $2$ .

$64 - 4 (7 \cdot 0)$

Multiply $- 4 (7 \cdot 0)$ .

Multiply $7$ by $0$ .

$64 - 4 \cdot 0$

Multiply $- 4$ by $0$ .

$64 + 0$

Add $64$ and $0$ .

$64$