Find the Discriminant 5x^2-4x=11

$5 x^{2} - 4 x = 11$

Step 1

Subtract $11$ from both sides of the equation.

$5 x^{2} - 4 x - 11 = 0$

Step 2

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

$b^{2} - 4 (a c)$

Step 3

Substitute in the values of $a$ , $b$ , and $c$ .

${(- 4)}^{2} - 4 (5 \cdot - 11)$

Step 4

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 4$ to the power of $2$ .

$16 - 4 (5 \cdot - 11)$

Multiply $- 4 (5 \cdot - 11)$ .

Multiply $5$ by $- 11$ .

$16 - 4 \cdot - 55$

Multiply $- 4$ by $- 55$ .

$16 + 220$

Add $16$ and $220$ .

$236$