Precalculus Examples

$2 x^{2} + 11 x - 6 = 0$

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 $c$ .

$11^{2} - 4 (2 \cdot - 6)$

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 $11$ to the power of $2$ .

$121 - 4 (2 \cdot - 6)$

Step 3.1.2

Multiply $- 4 (2 \cdot - 6)$ .

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Step 3.1.2.1

Multiply $2$ by $- 6$ .

$121 - 4 \cdot - 12$

Step 3.1.2.2

Multiply $- 4$ by $- 12$ .

$121 + 48$

Step 3.2

Add $121$ and $48$ .

$169$