11) А)x^2+2x/x-1=0
x^2+2x/x-1=0 x не равно 1
x^2+2x=0
x*(x+2)=0
x=0
x+2=0
x=0 x не равно 1
x= -2
x один= 0, x два = -2
Б) x/x+3=3
x/x+3= x не равно -3
x=(x+3)
x=3x+9
x-3x=9
-2x=9
x= -9/2, x не равно -3
x= -9/2
15 A) 3/4x+1/6x=2
3/4x+1/6x=2 x не равно 0
9+2/12x=2
11/12x=2
11=24x
24x=11
x=11/24, x не равно 0
x=11/24
Б) I 2x-5 I -1/x-3=0
I 2x-5 I -1/x-3=0, x не равно 3
I 2x-5 I -1=0
I 2x-5 I=1
2x-5=1
2x-5= -1
2x=1+5
2x= -1+5
2x=6
2x=4
x=3, x не равно 3
x=2
3/4x+1/6x=2, x не равно 0
Б) 3x^2+10x-25/x+5=x-5
3x^2+10x-25/x+5=x-5, x не равно -5
3x^2+15x-5x-25/x+5=x-5
3x(x+5) -5(x+5)/x+5=x-5
(3x-5)(x+5)/x+5=x-5
3x-5=x-5
3x=x
3x-x=0
2x=0
x=0, x не равно -5
20) A) 4-5y/y+5-1+5y/5-y=7/y^2-25
4-5y/y+5-1+5y/5-y=7/(y-5)(y+5)
4-5y/y+5-1+5y/5-y=7/(y-5)(y+5), y не равно -5, y не равно 5
4-5y/y+5-1+5y/5-y-7/(y-5)(y+5)=0
4-5y/y+5-1+5y/-(y-5)-7/(y-5)(y+5)=0
4-5y/y+5-1+5y/y-5-7/(y-5)(y+5)=0
(y-5)(4-5y)+(y+5)(1+5y)-7/(y-5)(y+5)=0
4y-5y^2-20+25y+y+5y^2+5+25y-7/(y-5)(y+5)=0
55y-22/(y-5)(y+5)=0
55y-22=0
55y=22
y=22/55
y=2/5, y не равно -5, y не равно 5
y= 2/5
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Answers & Comments
11) А)x^2+2x/x-1=0
x^2+2x/x-1=0 x не равно 1
x^2+2x=0
x*(x+2)=0
x=0
x+2=0
x=0 x не равно 1
x= -2
x=0
x= -2
x один= 0, x два = -2
Б) x/x+3=3
x/x+3= x не равно -3
x=(x+3)
x=3x+9
x-3x=9
-2x=9
x= -9/2, x не равно -3
x= -9/2
15 A) 3/4x+1/6x=2
3/4x+1/6x=2 x не равно 0
9+2/12x=2
11/12x=2
11=24x
24x=11
x=11/24, x не равно 0
x=11/24
Б) I 2x-5 I -1/x-3=0
I 2x-5 I -1/x-3=0, x не равно 3
I 2x-5 I -1=0
I 2x-5 I=1
2x-5=1
2x-5= -1
2x=1+5
2x= -1+5
2x=6
2x=4
x=3, x не равно 3
x=2
x=2
15 A) 3/4x+1/6x=2
3/4x+1/6x=2, x не равно 0
9+2/12x=2
11/12x=2
11=24x
24x=11
x=11/24, x не равно 0
x=11/24
Б) 3x^2+10x-25/x+5=x-5
3x^2+10x-25/x+5=x-5, x не равно -5
3x^2+15x-5x-25/x+5=x-5
3x(x+5) -5(x+5)/x+5=x-5
(3x-5)(x+5)/x+5=x-5
3x-5=x-5
3x=x
3x-x=0
2x=0
x=0, x не равно -5
x=0
20) A) 4-5y/y+5-1+5y/5-y=7/y^2-25
4-5y/y+5-1+5y/5-y=7/(y-5)(y+5)
4-5y/y+5-1+5y/5-y=7/(y-5)(y+5), y не равно -5, y не равно 5
4-5y/y+5-1+5y/5-y-7/(y-5)(y+5)=0
4-5y/y+5-1+5y/-(y-5)-7/(y-5)(y+5)=0
4-5y/y+5-1+5y/y-5-7/(y-5)(y+5)=0
(y-5)(4-5y)+(y+5)(1+5y)-7/(y-5)(y+5)=0
4y-5y^2-20+25y+y+5y^2+5+25y-7/(y-5)(y+5)=0
55y-22/(y-5)(y+5)=0
55y-22=0
55y=22
y=22/55
y=2/5, y не равно -5, y не равно 5
y= 2/5