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nirlysenko
@nirlysenko
August 2022
1
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Решите уравнение: x^4 - 17x^2+16=0
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AnonimusPro
Verified answer
Делаем замену:
y=x^2
получим:
y^2-17y+16=0
D=289-64=225=15^2
y1=(17+15)/2=32/2=16
y2=(17-15)/2=1
x^2=16
x1=4
x2=-4
x^2=1
x3=1
x4=-1
Ответ: x1=4; x2=-4; x3=1; x4=-1
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Answers & Comments
Verified answer
Делаем замену:y=x^2
получим:
y^2-17y+16=0
D=289-64=225=15^2
y1=(17+15)/2=32/2=16
y2=(17-15)/2=1
x^2=16
x1=4
x2=-4
x^2=1
x3=1
x4=-1
Ответ: x1=4; x2=-4; x3=1; x4=-1