Finite Math Examples

$- 2 x^{2} + 7 x = 10$

Step 1

Subtract $10$ from both sides of the equation.

$- 2 x^{2} + 7 x - 10 = 0$

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 $c$ .

$7^{2} - 4 (- 2 \cdot - 10)$

Step 4

Evaluate the result to find the discriminant.

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Step 4.1

Simplify each term.

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Step 4.1.1

Raise $7$ to the power of $2$ .

$49 - 4 (- 2 \cdot - 10)$

Step 4.1.2

Multiply $- 4 (- 2 \cdot - 10)$ .

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Step 4.1.2.1

Multiply $- 2$ by $- 10$ .

$49 - 4 \cdot 20$

Step 4.1.2.2

Multiply $- 4$ by $20$ .

$49 - 80$

Step 4.2

Subtract $80$ from $49$ .

$- 31$