Finite Math Examples

$x = \frac{- 63 + \sqrt{63^{2} - 4 - 3 - 124}}{2 - 3}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $63$ to the power of $2$ .

$x = \frac{- 63 + \sqrt{3969 - 4 - 3 - 124}}{2 - 3}$

Step 1.2

Subtract $4$ from $3969$ .

$x = \frac{- 63 + \sqrt{3965 - 3 - 124}}{2 - 3}$

Step 1.3

Subtract $3$ from $3965$ .

$x = \frac{- 63 + \sqrt{3962 - 124}}{2 - 3}$

Step 1.4

Subtract $124$ from $3962$ .

$x = \frac{- 63 + \sqrt{3838}}{2 - 3}$

Step 2

Simplify by multiplying through.

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Step 2.1

Subtract $3$ from $2$ .

$x = \frac{- 63 + \sqrt{3838}}{- 1}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Move the negative one from the denominator of $\frac{- 63 + \sqrt{3838}}{- 1}$ .

$x = - 1 \cdot (- 63 + \sqrt{3838})$

Step 2.2.2

Rewrite $- 1 \cdot (- 63 + \sqrt{3838})$ as $- (- 63 + \sqrt{3838})$ .

$x = - (- 63 + \sqrt{3838})$

Step 2.3

Apply the distributive property.

$x = - - 63 - \sqrt{3838}$

Step 2.4

Multiply $- 1$ by $- 63$ .

$x = 63 - \sqrt{3838}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = 63 - \sqrt{3838}$

Decimal Form:

$x = 1.04840599 \dots$