Algebra Examples

$x^{2} - 5 x - 6 = 0$

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

$c$ .

${(- 5)}^{2} - 4 (1 \cdot - 6)$

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

$- 5$ to the power of

$2$ .

$25 - 4 (1 \cdot - 6)$

Step 3.1.2

Multiply

$- 4 (1 \cdot - 6)$ .

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Step 3.1.2.1

Multiply

$- 6$ by

$1$ .

$25 - 4 \cdot - 6$

Step 3.1.2.2

Multiply

$- 4$ by

$- 6$ .

$25 + 24$

Step 3.2

Add

$25$ and

$24$ .

$49$