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Finite Math Examples Equations and Inequalities

Find the Discriminant

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

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 $c$ .

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

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 $- 2$ to the power of $2$ .

$4 - 4 (1 \cdot 4)$

Step 3.1.2

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

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Step 3.1.2.1

Multiply $4$ by $1$ .

$4 - 4 \cdot 4$

Step 3.1.2.2

Multiply $- 4$ by $4$ .

$4 - 16$

Step 3.2

Subtract $16$ from $4$ .

$- 12$

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Equations and Inequalities

More step-by-step Finite Math examples from this chapter.

Solving for a Variable Converting from Interval to Inequality Solve by Completing the Square Finding the Domain Finding the Range Finding the Domain and Range Finding the Asymptotes Solving by Factoring Solving Rational Equations Quadratic Formula Quadratic Inequalities Rational Inequalities

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$