Algebra Examples

$x^{2} - 7 x - 4 = 0$

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

$c$ .

${(- 7)}^{2} - 4 (1 \cdot - 4)$

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

$- 7$ to the power of

$2$ .

$49 - 4 (1 \cdot - 4)$

Step 3.1.2

Multiply

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

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Step 3.1.2.1

Multiply

$- 4$ by

$1$ .

$49 - 4 \cdot - 4$

Step 3.1.2.2

Multiply

$- 4$ by

$- 4$ .

$49 + 16$

Step 3.2

Add

$49$ and

$16$ .

$65$