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frik88
@frik88
July 2022
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(х^2-8)^2-4(х^2-8)-5=0
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ymind
(х²-8)²-4(х²-8)-5=0
Пусть (х²-8) = t
t²-4t-5=0
D=b²-4ac=(-4)²-4×1×(-5)=16+20=36
t1=(4+6)/2=10/2=5
t2=(4-6)/2=-2/2=-1
x²-8=5
x²=13
x=±√13
x²-8=-1
x²=7
x=±√7
Ответ: х1=√13; х2=-√13; х3=√7; х4=-√7
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Answers & Comments
Пусть (х²-8) = t
t²-4t-5=0
D=b²-4ac=(-4)²-4×1×(-5)=16+20=36
t1=(4+6)/2=10/2=5
t2=(4-6)/2=-2/2=-1
x²-8=5
x²=13
x=±√13
x²-8=-1
x²=7
x=±√7
Ответ: х1=√13; х2=-√13; х3=√7; х4=-√7