Algebra Examples

$5 x^{2} + x + 8 = 0$

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 $c$ .

$1^{2} - 4 (5 \cdot 8)$

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

One to any power is one.

$1 - 4 (5 \cdot 8)$

Step 3.1.2

Multiply $- 4 (5 \cdot 8)$ .

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Step 3.1.2.1

Multiply $5$ by $8$ .

$1 - 4 \cdot 40$

Step 3.1.2.2

Multiply $- 4$ by $40$ .

$1 - 160$

Step 3.2

Subtract $160$ from $1$ .

$- 159$