Решите уравнения 6x³-24x=0; 25x³-10x²+x; x³-4x²-9x+36. Created by russs333. algebra-ru

Решите уравнения 6x³-24x=0; 25x³-10x²+x; x³-4x²-9x+36...

July 2022 1 12 Report

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

27 votes Thanks 39

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