4х^4-9x^2+2=0................................................ Created by ChernovDm1997. algebra-ru

4х^4-9x^2+2=0...

ChernovDm1997 @ChernovDm1997

July 2022 2 8 Report

4х^4-9x^2+2=0...............................................

m11m 4x⁴ - 9x² +2=0
Пусть х² =у
4у² -9у+2=0
Д=81-4*4*2=81-32=49
у₁=9-7= 1/4
8
у₂=9+7=2
8

При у=1/4
х²=1/4
х=-1/2
х=1/2

При у=2
х²=2
х=-√2
х=√2

Ответ: -√2; -1/2; 1/2; √2.

4 votes Thanks 4

katerina961 У меня неправильно.
получается
x²=t
x1=√0,5
x2=√2

1 votes Thanks 1

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