Find the Discriminant 2x^2-8x+2k=0

$2 x^{2} - 8 x + 2 k = 0$

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 $c$ .

${(- 8)}^{2} - 4 (2 (2 k))$

Step 3

Simplify each term.

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

$64 - 4 (2 (2 k))$

Multiply $2$ by $2$ .

$64 - 4 (4 k)$

Multiply $4$ by $- 4$ .

$64 - 16 k$