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fanta961
@fanta961
June 2022
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Решите пожалуйста.......
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avraamenko
1) 40/x-18 - 40/x+2 =1 , x≠18, x≠-2
40/x-18 - 40/x+2 -1=0
40(x+2)-40(x-18)-(x-18)*(x+2)/(x-18)*(x+2) =0
80+720-(x²-16x-36)/(x-18)*(x+2) =0
836-x²=16x =0
-x²+16x+836=0
x²-16x-836=0
x1=-22, x2=38
2)1/3-x =3/20 + 1/x
1/3-x =3/20 + 1/x ,x≠3, x≠0
1/3-x - 3/20 -1/x =0
20x-3x ×(3-x)-20(3-x)/20x×(3-x) =0
31x +3x² -60/20x × (3-x) =0
31x +3x² -60=0
3x²+31x -60=0
x1=-12, x2 =5/3
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Answers & Comments
40/x-18 - 40/x+2 -1=0
40(x+2)-40(x-18)-(x-18)*(x+2)/(x-18)*(x+2) =0
80+720-(x²-16x-36)/(x-18)*(x+2) =0
836-x²=16x =0
-x²+16x+836=0
x²-16x-836=0
x1=-22, x2=38
2)1/3-x =3/20 + 1/x
1/3-x =3/20 + 1/x ,x≠3, x≠0
1/3-x - 3/20 -1/x =0
20x-3x ×(3-x)-20(3-x)/20x×(3-x) =0
31x +3x² -60/20x × (3-x) =0
31x +3x² -60=0
3x²+31x -60=0
x1=-12, x2 =5/3