Finite Math Examples

$y = x^{2} + 5 x - 4$

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 $c$ .

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

Step 3

Evaluate the result to find the discriminant.

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Step 3.1

Simplify each term.

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Step 3.1.1

Raise $5$ to the power of $2$ .

$25 - 4 (1 \cdot - 4)$

Step 3.1.2

Multiply $- 4 (1 \cdot - 4)$ .

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Step 3.1.2.1

Multiply $- 4$ by $1$ .

$25 - 4 \cdot - 4$

Step 3.1.2.2

Multiply $- 4$ by $- 4$ .

$25 + 16$

Step 3.2

Add $25$ and $16$ .

$41$