jika x2+y2=6xy, maka x-y/x+y adalah
Matematika
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Pertanyaan
jika x2+y2=6xy, maka x-y/x+y adalah
1 Jawaban
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1. Jawaban Anonyme
x² + y² = 6xy
•
(x - y)² + 2xy = 6xy
(x - y)² = 6xy - 2xy = 4xy
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(x + y)² - 2xy = 6xy
(x + y)² = 6xy + 2xy = 8xy
•••••
(x - y)²/(x + y)² = 4xy/8xy = 1/2
((x - y)/(x + y))² = 1/2
(x - y)/(x + y) = √(1/2)
(x - y)/(x + y) = +(1/2)√2
atau
(x - y)/(x + y) = -(1/2)√2