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nanogel
@nanogel
August 2022
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Вычислите значение многочлена х^2-4ху+4у^2 при х=14 16/17; у=5 8/17
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zhenyaM2002
Verified answer
Х² - 4ху + 4у² = х² - 2 * х *2у + (2у)² = (х - 2у)²
при х = 14 ¹⁶/₁₇ ; у = 5 ⁸/₁₇
( 14 ¹⁶/₁₇ - 2 * 5 ⁸/₁₇ )² = ( ²⁵⁴/₁₇ - ²/₁ * ⁹³/₁₇ )² =( ⁽²⁵⁴⁻¹⁸⁶⁾ /₁₇ ) ² =
= ( ⁶⁸/₁₇ )² = 4² = 16
7 votes
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Answers & Comments
Verified answer
Х² - 4ху + 4у² = х² - 2 * х *2у + (2у)² = (х - 2у)²при х = 14 ¹⁶/₁₇ ; у = 5 ⁸/₁₇
( 14 ¹⁶/₁₇ - 2 * 5 ⁸/₁₇ )² = ( ²⁵⁴/₁₇ - ²/₁ * ⁹³/₁₇ )² =( ⁽²⁵⁴⁻¹⁸⁶⁾ /₁₇ ) ² =
= ( ⁶⁸/₁₇ )² = 4² = 16