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russs333
@russs333
July 2022
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Решите уравнения 6x³-24x=0; 25x³-10x²+x; x³-4x²-9x+36
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fytyrama345
1)6x³-24x=0
6x(x²-4)=0
x(1)=0
x²-4=0
(x+2)(x-2)=0
Или же
x²=4
x(2)=-2
x(3)=2
(И то, и то правильно)
2)25x³-10x²+x=0
x(25x-10x+1)=0
x(1)=0
25x-10x+1=0
(5x-1)²=0
5x-1=0
5x=1
x=1/5
3)x³-4x²-9x+36=0
x²(x-4)-9(x-4)=0
(x²-9)(x-4)=0
x²-9=0 или x-4=0
x(1)=4
x²-9=0
(x-3)(x+3)=0
Или же(опять)
x²=9
x(2)=-3
x(3)=3
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Answers & Comments
6x(x²-4)=0
x(1)=0
x²-4=0
(x+2)(x-2)=0
Или же
x²=4
x(2)=-2
x(3)=2
(И то, и то правильно)
2)25x³-10x²+x=0
x(25x-10x+1)=0
x(1)=0
25x-10x+1=0
(5x-1)²=0
5x-1=0
5x=1
x=1/5
3)x³-4x²-9x+36=0
x²(x-4)-9(x-4)=0
(x²-9)(x-4)=0
x²-9=0 или x-4=0
x(1)=4
x²-9=0
(x-3)(x+3)=0
Или же(опять)
x²=9
x(2)=-3
x(3)=3