Finite Math Examples

$- 90 + \sqrt{90^{2} - 4 \cdot 1 \cdot - 9000}$

Step 1

Simplify each term.

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Step 1.1

Raise $90$ to the power of $2$ .

$- 90 + \sqrt{8100 - 4 \cdot 1 \cdot - 9000}$

Step 1.2

Multiply $- 4 \cdot 1 \cdot - 9000$ .

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Step 1.2.1

Multiply $- 4$ by $1$ .

$- 90 + \sqrt{8100 - 4 \cdot - 9000}$

Step 1.2.2

Multiply $- 4$ by $- 9000$ .

$- 90 + \sqrt{8100 + 36000}$

Step 1.3

Add $8100$ and $36000$ .

$- 90 + \sqrt{44100}$

Step 1.4

Rewrite $44100$ as $210^{2}$ .

$- 90 + \sqrt{210^{2}}$

Step 1.5

Pull terms out from under the radical, assuming positive real numbers.

$- 90 + 210$

Step 2

Add $- 90$ and $210$ .

$120$