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polya108
@polya108
August 2022
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А) 2¹/₆ - (x + 1¹/₁₂) = 0,25
¹³/₆ - x - ¹³/₁₂ = ²⁵/₁₀₀
¹³ˣ²/₁₂ - x - ¹³/₁₂ = ²⁵/₁₀₀
²⁶/₁₂ - x - ¹³/₁₂ = ²⁵/₁₀₀
²⁶⁻¹³/₁₂ - x = ¹/₄
¹³/₁₂ - x = ¹/₄
- x = ¹/₄ - ¹³/₁₂
- x = ³/₁₂ - ¹³/₁₂
- x = - ¹⁰/₁₂
x = ¹⁰/₁₂
x = ⁵/₆
----------------
b) 8¹/₃ - (5²/₁₅ - x) = 3²/₉
8¹/₃ - 5²/₁₅+ x = 3²/₉
²⁵/₃ - ⁷⁷/₁₅+ x = ²⁹/₉
²⁵ˣ⁵/₁₅ - ⁷⁷/₁₅+ x = ²⁹/₉
¹²⁵/₁₅ - ⁷⁷/₁₅+ x = ²⁹/₉
¹²⁵⁻⁷⁷/₁₅ + x = ²⁹/₉
⁴⁸/₁₅ + x = ²⁹/₉
x = ²⁹/₉ - ⁴⁸/₁₅
x = ²⁹ˣ⁵/₉₄₅ - ⁴⁸ˣ³/₄₅
x = ¹⁴⁵/₄₅ - ¹⁴⁴/₄₅
x = ¹⁴⁵⁻¹⁴⁴/₄₅
x = ¹/₄₅
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Answers & Comments
Verified answer
А) 2¹/₆ - (x + 1¹/₁₂) = 0,25¹³/₆ - x - ¹³/₁₂ = ²⁵/₁₀₀
¹³ˣ²/₁₂ - x - ¹³/₁₂ = ²⁵/₁₀₀
²⁶/₁₂ - x - ¹³/₁₂ = ²⁵/₁₀₀
²⁶⁻¹³/₁₂ - x = ¹/₄
¹³/₁₂ - x = ¹/₄
- x = ¹/₄ - ¹³/₁₂
- x = ³/₁₂ - ¹³/₁₂
- x = - ¹⁰/₁₂
x = ¹⁰/₁₂
x = ⁵/₆
----------------
b) 8¹/₃ - (5²/₁₅ - x) = 3²/₉
8¹/₃ - 5²/₁₅+ x = 3²/₉
²⁵/₃ - ⁷⁷/₁₅+ x = ²⁹/₉
²⁵ˣ⁵/₁₅ - ⁷⁷/₁₅+ x = ²⁹/₉
¹²⁵/₁₅ - ⁷⁷/₁₅+ x = ²⁹/₉
¹²⁵⁻⁷⁷/₁₅ + x = ²⁹/₉
⁴⁸/₁₅ + x = ²⁹/₉
x = ²⁹/₉ - ⁴⁸/₁₅
x = ²⁹ˣ⁵/₉₄₅ - ⁴⁸ˣ³/₄₅
x = ¹⁴⁵/₄₅ - ¹⁴⁴/₄₅
x = ¹⁴⁵⁻¹⁴⁴/₄₅
x = ¹/₄₅