( \frac { 3 } { x - 2 } - \frac { 5 } { x + 3 } = \frac { 1 } { x ^ { 2 } + x - 6 }
x uchun yechish
x=9
Grafik
Viktorina
Linear Equation
( \frac { 3 } { x - 2 } - \frac { 5 } { x + 3 } = \frac { 1 } { x ^ { 2 } + x - 6 }
Baham ko'rish
Klipbordga nusxa olish
\left(x+3\right)\times 3-\left(x-2\right)\times 5=1
x qiymati -3,2 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(x-2\right)\left(x+3\right) ga, x-2,x+3,x^{2}+x-6 ning eng kichik karralisiga ko‘paytiring.
3x+9-\left(x-2\right)\times 5=1
x+3 ga 3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3x+9-\left(5x-10\right)=1
x-2 ga 5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3x+9-5x+10=1
5x-10 teskarisini topish uchun har birining teskarisini toping.
-2x+9+10=1
-2x ni olish uchun 3x va -5x ni birlashtirish.
-2x+19=1
19 olish uchun 9 va 10'ni qo'shing.
-2x=1-19
Ikkala tarafdan 19 ni ayirish.
-2x=-18
-18 olish uchun 1 dan 19 ni ayirish.
x=\frac{-18}{-2}
Ikki tarafini -2 ga bo‘ling.
x=9
9 ni olish uchun -18 ni -2 ga bo‘ling.
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