820)(9/(x-11))+(11/(x-9))=2
ОДЗ: x≠9 x≠11
(9(x-9)+11(x-11)-2(x-11)(x-9))/((x-9)(x-11))=0
9x-81+11x-121-2(x²-20x+99)=0
20x-202-2x²+40x-198=0
-2x²+60x-400=0
-x²-30x+200=0
D=100
x=20
x=10
821)(13/(x-12))+(12/(x-13))=2
ОДЗ:x≠12 x≠13
(13(x-13)+12(x-12)-2(x-12)(x-13))/((x-12)(x-13))=0
13x-169+12x-144-2(x²-25x+56)=0
-2x²-75x+625=0
D=625
x=(75+25)/4=25
x=(75-25)/4=12,5
822)(8/(x-3))+(3/(x-8))=2
ОДЗ:x≠3 x≠8
(8(x-8)+3(x-3)-2(x-3)(x-8))/((x-3)(x-8))=0
8x-64+3x-9-2(x²-11x+24)=0
-2x²+33x-121=0
D=1089-968=121
x=(-33+11)/-4=5,5
x=(-33-11)/-4=11
823)(10/(x-4))+(4/(x-10))=2
ОДЗ: x≠4 x≠10
(10(x-10)+4(x-4)-2(x-4)(x-10))/((x-4)(x-10))=0
10x-100+4x-16-2(x²-14x+40)=0
-2x²+42x-196=0
-x²+21x-98=0
D=441-392=49
x=(-21+7)/-2=7
x=(-21-7)/-2=14
824)(x-6)/(x-9)=2
ОДЗ: х≠9
x-6=2x-18
x=12
825)(x-5)/(x-9)=5
ОДЗ: х≠9
x-5=5x-45
4x=40
x=10
826)(x-5)/(x-15)=-1
ОДЗ: x≠15
x-5=-x+15
2x=20
x=10
827)(х-6)/(x-13)=-6
ОДЗ х≠13
x-6=-6x+78
7x=84
x=12
828)(х-10)/(x-15)=2
ОДЗ x≠15
x-10=2x-30
x=20
829)(x-7)/(x-2)=7/12
ОДЗ x≠2
7(x-2)=12(x-7)
7x-14=12x-84
5x=70
x=14
830)(x-11)/(x-12)=11/10
ОДЗ x≠12
10x-110=11x-132
x=22
831)(x-14)/(x-12)=7/8
ОДЗ x≠12
8(x-14)=7(x-12)
8x-112=7x-84
x=28
832)(x-14)/(x-7)=2/3
ОДЗ x=7
2x-14=3x-42
x=28
833)(x-12)/(x-13)=12/11
ОДЗ x≠13
12(x-13)=11(x-12)
12x-156=11x-132
x=24
834)x-(12/x)=-4
x²+4x-12=0
D=16+48=64
x=(-4-8)/2=-6
x=(-4+8)/2=2
835)x-(12/x)=4
x²-4x-12=0
D=16+48=64
x=(4+8)/2=6
x=(4-8)/2=-2