Finite Math Examples

$743 = - 16 t^{2}$

Step 1

Add $16 t^{2}$ to both sides of the equation.

$743 + 16 t^{2} = 0$

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 $c$ .

$0^{2} - 4 (16 \cdot 743)$

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

Raising $0$ to any positive power yields $0$ .

$0 - 4 (16 \cdot 743)$

Step 4.1.2

Multiply $- 4 (16 \cdot 743)$ .

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Step 4.1.2.1

Multiply $16$ by $743$ .

$0 - 4 \cdot 11888$

Step 4.1.2.2

Multiply $- 4$ by $11888$ .

$0 - 47552$

Step 4.2

Subtract $47552$ from $0$ .

$- 47552$