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hdbdbf
@hdbdbf
July 2022
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математика уравнения прошу
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KD18
1) 2x²=162
x²=162:2
x²=81
x=9
2)a²-6a+8=0
D=36-4·1·8=36-32=4=2²
x₁=
=
4
x₂=
=
2
3) -4x⁴+16x²=0
4x²(-x²+4)=0
4x²=0
x=0
-x²+4=0
-x²=-4
x²=4
x=2
4) 3x²-2x-5=0
D=4-4·3·(-5)=4+60=64=8²
x₁=
=
x₂=
5)4x⁴-5x²+1=0
Пусть x²=y, тогда
4y²-5y+1=0
D=25-4·4·1=9=3²
x₁=
x₂=
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Answers & Comments
x²=162:2
x²=81
x=9
2)a²-6a+8=0
D=36-4·1·8=36-32=4=2²
x₁= = 4
x₂= = 2
3) -4x⁴+16x²=0
4x²(-x²+4)=0
4x²=0
x=0
-x²+4=0
-x²=-4
x²=4
x=2
4) 3x²-2x-5=0
D=4-4·3·(-5)=4+60=64=8²
x₁= =
x₂=
5)4x⁴-5x²+1=0
Пусть x²=y, тогда
4y²-5y+1=0
D=25-4·4·1=9=3²
x₁=
x₂=