Finite Math Examples

f (x) = x^{2} - 15 x^{7} - 6 \cdot \frac{34}{59}

$f (x) = x^{2} - 15 x^{7} - 6 \cdot \frac{34}{59}$

Step 1

Set

x^{2} - 15 x^{7} - 6 \cdot \frac{34}{59}

$x^{2} - 15 x^{7} - 6 \cdot \frac{34}{59}$ equal to

0

$0$ .

x^{2} - 15 x^{7} - 6 \cdot \frac{34}{59} = 0

$x^{2} - 15 x^{7} - 6 \cdot \frac{34}{59} = 0$

Step 2

Solve for

x

$x$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply

- 6 (\frac{34}{59})

$- 6 (\frac{34}{59})$ .

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Step 2.1.1.1

Combine

- 6

$- 6$ and

\frac{34}{59}

$\frac{34}{59}$ .

x^{2} - 15 x^{7} + \frac{- 6 \cdot 34}{59} = 0

$x^{2} - 15 x^{7} + \frac{- 6 \cdot 34}{59} = 0$

Step 2.1.1.2

Multiply

- 6

$- 6$ by

34

$34$ .

x^{2} - 15 x^{7} + \frac{- 204}{59} = 0

$x^{2} - 15 x^{7} + \frac{- 204}{59} = 0$

x^{2} - 15 x^{7} + \frac{- 204}{59} = 0

$x^{2} - 15 x^{7} + \frac{- 204}{59} = 0$

Step 2.1.2

Move the negative in front of the fraction.

x^{2} - 15 x^{7} - \frac{204}{59} = 0

$x^{2} - 15 x^{7} - \frac{204}{59} = 0$

x^{2} - 15 x^{7} - \frac{204}{59} = 0

$x^{2} - 15 x^{7} - \frac{204}{59} = 0$

Step 2.2

Graph each side of the equation. The solution is the x-value of the point of intersection.

x \approx - 0.78825277

$x \approx - 0.78825277$

x \approx - 0.78825277

$x \approx - 0.78825277$

Step 3