6/(х + 1) - 1/(х-1) = 1 | * (x + 1)(x - 1)
6(x -1) - 1(x+1) = 1*(x+1)(x-1)
6x - 6 -x - 1 = x^2 - 1^2
5x - 7 = x^2 - 1
x^2 - 1 - 5x + 7 = 0
x^2 - 5x + 6 = 0
D = (-5)^2 - 4*1 *6 = 25 - 24 = 1
D>0 - два корня уравнения
х1 = ( - (-5) - √1) / (2*1) = (5 -1)/2 = 4/2 = 2
х2 = (- (-5) + √1 ) / (2*1) = (5+1)/2 = 6/2 = 3
Ответ : х1 = 2 ; х2 = 3 .
(3 целых 1/2 - 2 целых 2/3 + 5 целых 5/6 + 4 целых 3/5) * 24 =
(3•2+1)/2• 24- (2•3+2)/3• 24+ (5•6+5)/6• 24+ (4• 5+3)/5• 24=
7/2• 24- 8/3• 24+ 35/6• 24+ 23/5• 24=
7/1• 12- 8/1• 8+ 35/1• 4+ 552/5=
84- 64+ 140+ 110 2/5=
160+ 110 2/5= 270 2/5
5 целых 1/3 - 3/4 * 2 целых 2/5 + 3 целых 5/6=
5 1/3- 3/4• (2•5+2)/5+ 3 5/6=
5 1/3+ 3 5/6 - 3/4• 12/5=
5 (1•2)/(3•2)+ 3 5/6- 3/1• 3/5=
5 2/6+ 3 5/6- 9/5=
8 7/6- 1 4/5=
8 (7•5)/(6•5)- 1 (4•6)/(5•6)=
8 35/30- 1 24/30=
7 11/30.
4 целых 4/5 * 1 целая 3/5 + 1/5 =
(4•5+4)/5• (1•5+3)/5+ 1/5=
24/5• 8/5+ 1/5= 192/25+ 1/5=
192/25+ (1•5)/(5•5)=
192/25+5/25= 197/25=
7 22/25.
(с:9)*15=47+28
(с:9)*15=75
с:9=75:15
с:9=5
с=9*5
с=45
проверка:
(45:9)*15-47=28
28=28