Find the Discriminant 16x^2-16x+4=0

$16 x^{2} - 16 x + 4 = 0$

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 $c$ .

${(- 16)}^{2} - 4 (16 \cdot 4)$

Step 3

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 16$ to the power of $2$ .

$256 - 4 (16 \cdot 4)$

Multiply $- 4 (16 \cdot 4)$ .

Multiply $16$ by $4$ .

$256 - 4 \cdot 64$

Multiply $- 4$ by $64$ .

$256 - 256$

Subtract $256$ from $256$ .

$0$