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Splysh
@Splysh
August 2022
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Помогите решить уравнение под номером 3
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ПрофиЗнания
Общий знаменатель (x-2)(x²+2x+4)
12/(x-2)(x²+2x+4) +(x+1)/
(x²+2x+4) =4/x-2
12+(x+1)(x-2)=4
(x²+2x+4)
12+x
²-2x+x-2=4x²+8x+16
10+x²-x=4x²+8x+16
3x²+9x+6=0 :3
x²+3x+2=0
D=9-8=1
x1=-3+1/2=-2/2=-1
x2=-3-1/2=-4/2=-2
1 votes
Thanks 1
sedinalana
12/(x-2)(x²+2x+4)+(x+1)/(x²+2x+4)=4/(x-2)
x≠2
12+(x+1)(x-2)=4(x²+2x+4)
4x²+8x+16-12-x²+2x-x+2=0
3x²+9x+6=0
x²+3x+2=0
x1+x2=-3 U x1*x2=2
x1=-1 U x2=-2
0 votes
Thanks 1
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Answers & Comments
12/(x-2)(x²+2x+4) +(x+1)/(x²+2x+4) =4/x-2
12+(x+1)(x-2)=4(x²+2x+4)
12+x²-2x+x-2=4x²+8x+16
10+x²-x=4x²+8x+16
3x²+9x+6=0 :3
x²+3x+2=0
D=9-8=1
x1=-3+1/2=-2/2=-1
x2=-3-1/2=-4/2=-2
x≠2
12+(x+1)(x-2)=4(x²+2x+4)
4x²+8x+16-12-x²+2x-x+2=0
3x²+9x+6=0
x²+3x+2=0
x1+x2=-3 U x1*x2=2
x1=-1 U x2=-2