Basic Math Examples

$x = \frac{- 280 \pm \sqrt{280^{2} + 8 \cdot 96000}}{4}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Raise $280$ to the power of $2$ .

$x = \frac{- 280 \pm \sqrt{78400 + 8 \cdot 96000}}{4}$

Step 1.2

Multiply $8$ by $96000$ .

$x = \frac{- 280 \pm \sqrt{78400 + 768000}}{4}$

Step 1.3

Add $78400$ and $768000$ .

$x = \frac{- 280 \pm \sqrt{846400}}{4}$

Step 1.4

Rewrite $846400$ as $920^{2}$ .

$x = \frac{- 280 \pm \sqrt{920^{2}}}{4}$

Step 1.5

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

$x = \frac{- 280 \pm 920}{4}$

Step 2

Simplify $\frac{- 280 \pm 920}{4}$ .

$x = - 70 \pm 230$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = - 70 \pm 230$

Decimal Form:

$x = 160, - 300$