Tìm số nguyên x biết : x/4 =18/x+1

2 câu trả lời

`x/4 = 18/(x+1)`

`<=> (x.(x+1))/(4.(x+1)) = (18.4)/((x+1).4)`

`=> x^2 + x = 72`

`<=> x^2 + x -72 = 0`

`<=> x^2 + 9x - 8x - 72 =0`

`<=> x(x-8) + 9.(x-9) = 0`

`<=> (x+9).(x-8) = 0`

`<=>` \(\left[ \begin{array}{l}x+9=0\\x-8=0\end{array} \right.\) 

`<=>` \(\left[ \begin{array}{l}x=-9\\x=8\end{array} \right.\) 

Vậy `x∈{ -9;8}`

 

`x/4 = 18/(x+1)`

`<=> x.(x+1) = 18.4`

`<=> x^2 + x = 72`

`<=> x^2 + x -72=0`

`<=> x^2 + 9x - 8x - 72 =0`

`<=> x(x+9) - 8(x+9) = 0`

`<=> (x-8)(x+9) = 0`

`<=> x - 8 =0`            hoặc               `x+9 = 0`

`<=> x=8 `                 hoặc               `x=-9`

Vậy x∈{8;-9}