Finite Math Examples

$2 x^{2} + 1 = 0$

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 $c$ .

$0^{2} - 4 (2 \cdot 1)$

Evaluate the result to find the discriminant.

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Simplify each term.

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Raising $0$ to any positive power yields $0$ .

$0 - 4 (2 \cdot 1)$

Multiply $2$ by $1$ .

$0 - 4 \cdot 2$

Multiply $- 4$ by $2$ .

$0 - 8$

Subtract $8$ from $0$ .

$- 8$

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