Finite Math Examples

$- 2 z^{2} - 2 = - 28 z$

Step 1

Add $28 z$ to both sides of the equation.

$- 2 z^{2} - 2 + 28 z = 0$

Step 2

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

$b^{2} - 4 (a c)$

Step 3

Substitute in the values of $a$ , $b$ , and $c$ .

$28^{2} - 4 (- 2 \cdot - 2)$

Step 4

Evaluate the result to find the discriminant.

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Step 4.1

Simplify each term.

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Step 4.1.1

Raise $28$ to the power of $2$ .

$784 - 4 (- 2 \cdot - 2)$

Step 4.1.2

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

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Step 4.1.2.1

Multiply $- 2$ by $- 2$ .

$784 - 4 \cdot 4$

Step 4.1.2.2

Multiply $- 4$ by $4$ .

$784 - 16$

Step 4.2

Subtract $16$ from $784$ .

$768$