Question

Решите уравнение
$\frac{1}{x} + \frac{1}{x - 10} = \frac{1}{12}$
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Answer 1

Ответ:

Объяснение:

1/x+1/x-10-1/2=0

12(x-10)+12x-x*(x-10)/12x*(x-10)=0

12x-120+12x-x*(x-10)/12x(x-10)=0

12x-120+12x-$x^{2}$+10x/12x*(x-10)=0

34x-120-$x^{2}$/12x*(x-10)=0

34x-120-$x^{2}$=0

-$x^{2}$+34x-120=0

$x^{2}$-34x+120=0

$x^{2}$-4x-30x+120=0

x*(x-4)-30x+120=0

x*(x-4)-30(x-4)=0

(x-4)*(x-30)=0

x-4=0

x-30=0

x=4

x=30