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avobucai
@avobucai
July 2022
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матан выделение полного квадрата
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sharadi
√ (х +5 -4√(х +1) ) = √ ((х +1) - 4√(х +1) +4) = √ ((√х+1)² -4√(х+1) +4)=
=√(√(х+1) -2)² = √(х+1) - 2
√ (х +10 -6√(х+1)) = √(х+1 -6√(х+1) +9)= √( √(х+1)² -6√(х+1) +3²)=
=√( (√(х+1)-3)² ) = √(х+1) -3
Теперь наше уравнение :э
√(х+1) - 2 + √(х+1) -3 = 1
2√(х+1) = 6
√(х+1) = 3 |²
х +1 = 9
х = 8
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Answers & Comments
=√(√(х+1) -2)² = √(х+1) - 2
√ (х +10 -6√(х+1)) = √(х+1 -6√(х+1) +9)= √( √(х+1)² -6√(х+1) +3²)=
=√( (√(х+1)-3)² ) = √(х+1) -3
Теперь наше уравнение :э
√(х+1) - 2 + √(х+1) -3 = 1
2√(х+1) = 6
√(х+1) = 3 |²
х +1 = 9
х = 8