Find the Discriminant 2x^2+x=5

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

Step 1

Subtract $5$ from both sides of the equation.

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

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 $c$ .

$1^{2} - 4 (2 \cdot - 5)$

Step 4

Evaluate the result to find the discriminant.

Simplify each term.

One to any power is one.

$1 - 4 (2 \cdot - 5)$

Multiply $- 4 (2 \cdot - 5)$ .

Multiply $2$ by $- 5$ .

$1 - 4 \cdot - 10$

Multiply $- 4$ by $- 10$ .

$1 + 40$

Add $1$ and $40$ .

$41$