Question

(x-9³/⁷)+5 ⁸/²¹=6⁵/¹⁴

Answer 1

Объяснение:

$(x-9\frac{3}{7})+5\frac{8}{21}=6\frac{5}{14} \\x-9\frac{3}{7}+5\frac{8}{21}=6\frac{5}{14} \\x=6\frac{5}{14} -5\frac{8}{21}+9\frac{3}{7} \\x=\frac{89}{14} -\frac{113}{21} +\frac{66}{7} \\x=\frac{89*3-113*2+66*6}{42} \\x=\frac{267-226+396}{42} \\x=\frac{437}{42} \\x=10\frac{17}{42}.$

Ответ: x=10¹⁷/₄₂.

Answer 2

To solve the equation $(x - 9^{3/7}) + 5^{8/21} = 6^{5/14}$, you need to isolate $x$. Here's how you can do it step by step:

1. Start with the equation:

$(x - 9^{3/7}) + 5^{8/21} = 6^{5/14}$

2. Subtract $5^{8/21}$ from both sides of the equation:

$x - 9^{3/7} = 6^{5/14} - 5^{8/21}$

3. Now, we need to compute the values of $6^{5/14}$ and $5^{8/21}$:

$6^{5/14} \approx 2.5666$ (rounded to 4 decimal places) $5^{8/21} \approx 2.2872$ (rounded to 4 decimal places)

4. Substitute these values back into the equation:

$x - 9^{3/7} = 2.5666 - 2.2872$

5. Subtract $2.2872$ from both sides:

$x - 9^{3/7} = 2.5666 - 2.2872$ $x - 9^{3/7} ≈ 0.2794$

6. Finally, add $9^{3/7}$ to both sides to isolate (x):

$x ≈ 0.2794 + 9^{3/7}$

You can use a calculator to find a more accurate approximation of $9^{3/7}$, and then add it to 0.2794 to find the value of (x).