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akosoogly
@akosoogly
August 2022
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Удачник66
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1) 9/x + 20/(x+3) = 1
x =/= 0; x=/= -3
9(x+3) + 20x = x(x+3)
9x + 27 + 20x = x^2 + 3x
x^2 - 26x - 27 = 0
(x+1)(x-27) = 0
x1 = -1, x2 = 27
2) (x^2+9)/(x^2-x-20) = 0
Дробь равна 0, когда числитель равен 0, а знаменатель нет
x^2+9 = 0
Решений нет
3) (2x+5)/x = (2x-3)/(x+2)
x =/= 0; x =/= -2
(2x+5)(x+2) = x(2x-3)
2x^2+9x+10 = 2x^2-6x
9x+6x = -10
15x = -10
x = -10/15 = -2/3
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Answers & Comments
Verified answer
1) 9/x + 20/(x+3) = 1x =/= 0; x=/= -3
9(x+3) + 20x = x(x+3)
9x + 27 + 20x = x^2 + 3x
x^2 - 26x - 27 = 0
(x+1)(x-27) = 0
x1 = -1, x2 = 27
2) (x^2+9)/(x^2-x-20) = 0
Дробь равна 0, когда числитель равен 0, а знаменатель нет
x^2+9 = 0
Решений нет
3) (2x+5)/x = (2x-3)/(x+2)
x =/= 0; x =/= -2
(2x+5)(x+2) = x(2x-3)
2x^2+9x+10 = 2x^2-6x
9x+6x = -10
15x = -10
x = -10/15 = -2/3