а)x ≠ 1
(3x * (x+1)-(x+1))/(x+1)=5
(x+1) * (3x-1)/(x+1)=5
3x-1 = 5
3x = 6
x =2
б) x ≠ 4
x ≠ -4
(x)/(x-4) - (2)/(x+4)-(32)/(x^2-16)=0
(x*(x+4) - 2(x-4)-32)/(x-4)(x+4) = 0
(x^2+2x-24)/((x-4)*(x+4)) = 0
((x+6)(x-4))/((x-4)(x+4))=0
(x+6)/(x+4) = 0
x = -6
в) (1)/(x(2-x))+(x+4)/(x(2+x))- (2)/((2-x)(2+x))=0
(2+x+2x8-x^2-4x-2x)/(x(-(x-2))(2+x))=0
(-x^2+2x-5x+10)/(x(-(x-2))(2+x))=0
(-x-2)(x+5)/(x(2+x))=0
x+5=0
x=-5
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Answers & Comments
а)x ≠ 1
(3x * (x+1)-(x+1))/(x+1)=5
(x+1) * (3x-1)/(x+1)=5
3x-1 = 5
3x = 6
x =2
б) x ≠ 4
x ≠ -4
(x)/(x-4) - (2)/(x+4)-(32)/(x^2-16)=0
(x*(x+4) - 2(x-4)-32)/(x-4)(x+4) = 0
(x^2+2x-24)/((x-4)*(x+4)) = 0
((x+6)(x-4))/((x-4)(x+4))=0
(x+6)/(x+4) = 0
x = -6
в) (1)/(x(2-x))+(x+4)/(x(2+x))- (2)/((2-x)(2+x))=0
(2+x+2x8-x^2-4x-2x)/(x(-(x-2))(2+x))=0
(-x^2+2x-5x+10)/(x(-(x-2))(2+x))=0
(-x-2)(x+5)/(x(2+x))=0
x+5=0
x=-5