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Didishka18
@Didishka18
August 2022
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решите пожалуйста В49
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sedinalana
Verified answer
∛(8x+11)-∛(8x-15)=2
8x-15=a
∛(a+26)=2+∛a
возведем в куб
a+26=8+12∛a+6∛a²+a
6∛a²+12∛a-18=0
∛a=b
6b²+12b-18=0
b²+2b-3=0
b1+b2=-2 U b1*b2=-3
b1=-3⇒∛a=-3⇒a=-27⇒8x-15=-27⇒8x=-12⇒x=-1,5
b2=1⇒∛a=1⇒a=1⇒8x-15=1⇒8x=16⇒x=2
Проверка
х=-1,5
∛-1+∛27=-1+3=2 2=2
х=2
∛27+∛-1=3-1=2
Ответ х=-1,5;х=2
1 votes
Thanks 1
Didishka18
Спасибо огромное))
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Answers & Comments
Verified answer
∛(8x+11)-∛(8x-15)=28x-15=a
∛(a+26)=2+∛a
возведем в куб
a+26=8+12∛a+6∛a²+a
6∛a²+12∛a-18=0
∛a=b
6b²+12b-18=0
b²+2b-3=0
b1+b2=-2 U b1*b2=-3
b1=-3⇒∛a=-3⇒a=-27⇒8x-15=-27⇒8x=-12⇒x=-1,5
b2=1⇒∛a=1⇒a=1⇒8x-15=1⇒8x=16⇒x=2
Проверка
х=-1,5
∛-1+∛27=-1+3=2 2=2
х=2
∛27+∛-1=3-1=2
Ответ х=-1,5;х=2