Finite Math Examples

$x^{2} + (100 - x^{2}) = 80^{2}$

Step 1

Subtract $80^{2}$ from both sides of the equation.

$x^{2} + (100 - x^{2}) - 80^{2} = 0$

Step 2

Simplify $x^{2} + (100 - x^{2}) - 80^{2}$ .

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Step 2.1

Combine the opposite terms in $x^{2} + 100 - x^{2} - 80^{2}$ .

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Step 2.1.1

Subtract $x^{2}$ from $x^{2}$ .

$0 + 100 - 80^{2} = 0$

Step 2.1.2

Add $0$ and $100$ .

$100 - 80^{2} = 0$

Step 2.2

Simplify each term.

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Step 2.2.1

Raise $80$ to the power of $2$ .

$100 - 1 \cdot 6400 = 0$

Step 2.2.2

Multiply $- 1$ by $6400$ .

$100 - 6400 = 0$

Step 2.3

Subtract $6400$ from $100$ .

$- 6300 = 0$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.