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wap123
@wap123
August 2022
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розв'язати систему рівнянь:
{ х-у=1,
1/х + 1/у = 5/6.
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miron2077
Verified answer
Х-у=1
1/х+1/у=5/6
х=1+у
6у+6х=5ху
6у+6+6у=5у(1+у)
12у+6=5у+5у²
5у²-7у-6=0
у₁,₂=(7⁺₋√(79+120)) /10= (7⁺₋13)/10
у₁=2 у₂=-0,6
х₁=1+2=3 х₂=1-0,6=0,4
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Answers & Comments
Verified answer
Х-у=11/х+1/у=5/6
х=1+у
6у+6х=5ху
6у+6+6у=5у(1+у)
12у+6=5у+5у²
5у²-7у-6=0
у₁,₂=(7⁺₋√(79+120)) /10= (7⁺₋13)/10
у₁=2 у₂=-0,6
х₁=1+2=3 х₂=1-0,6=0,4