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kutyrevmaksim
@kutyrevmaksim
August 2022
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√x+21 - √4x+3 = 0
Как решить ? Прошу очень помочь
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sangers1959
Verified answer
√(x+21)-√(4x-3)=0
ОДЗ: х+21≥0 х≥-21 4x-3≥0 4x≥3 x≥3/4 ⇒ x∈[3/4;+∞).
(√(x+21))²=(√4x-3)²
x+21=4x-3
3x=24
x=8 ∈ОДЗ.
Ответ: х=8.
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Answers & Comments
Verified answer
√(x+21)-√(4x-3)=0ОДЗ: х+21≥0 х≥-21 4x-3≥0 4x≥3 x≥3/4 ⇒ x∈[3/4;+∞).
(√(x+21))²=(√4x-3)²
x+21=4x-3
3x=24
x=8 ∈ОДЗ.
Ответ: х=8.