Finite Math Examples

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

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

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

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

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

Evaluate the result to find the discriminant.

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Simplify each term.

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Raise $- 1$ to the power of $2$ .

$1 - 4 (2 \cdot 4)$

Multiply $2$ by $4$ .

$1 - 4 \cdot 8$

Multiply $- 4$ by $8$ .

$1 - 32$

Subtract $32$ from $1$ .

$- 31$

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