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kristina230700
@kristina230700
August 2022
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Решить уравнение:
х^4-6x^2+8=0
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Juliaa21
X^4-6x^2+8=0
(x²)²-6x²+8=0
x²=t ; t≥0
t²-6t+8=0
D=36-4*1*8=36-32=4
t1=(6+2)/2=8/2=4
t2=(6-2)/2=4/2=2
x²=4 x²=2
x=+-2 x=+-√2
Ответ:-2;-√2;√2;2
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Answers & Comments
(x²)²-6x²+8=0
x²=t ; t≥0
t²-6t+8=0
D=36-4*1*8=36-32=4
t1=(6+2)/2=8/2=4
t2=(6-2)/2=4/2=2
x²=4 x²=2
x=+-2 x=+-√2
Ответ:-2;-√2;√2;2