Finite Math Examples

$x^{2} + 3 x - 9 = 0$

Step 1

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

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

Step 2

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

$3^{2} - 4 (1 \cdot - 9)$

Step 3

Evaluate the result to find the discriminant.

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Simplify each term.

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Raise $3$ to the power of $2$ .

$9 - 4 (1 \cdot - 9)$

Multiply $- 9$ by $1$ .

$9 - 4 \cdot - 9$

Multiply $- 4$ by $- 9$ .

$9 + 36$

Add $9$ and $36$ .

$45$

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