Find the Discriminant 5x^2=-11x+7

$5 x^{2} = - 11 x + 7$

Step 1

Move all the expressions to the left side of the equation.

Add $11 x$ to both sides of the equation.

$5 x^{2} + 11 x = 7$

Subtract $7$ from both sides of the equation.

$5 x^{2} + 11 x - 7 = 0$

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 $c$ .

$11^{2} - 4 (5 \cdot - 7)$

Step 4

Evaluate the result to find the discriminant.

Simplify each term.

Raise $11$ to the power of $2$ .

$121 - 4 (5 \cdot - 7)$

Multiply $- 4 (5 \cdot - 7)$ .

Multiply $5$ by $- 7$ .

$121 - 4 \cdot - 35$

Multiply $- 4$ by $- 35$ .

$121 + 140$

Add $121$ and $140$ .

$261$