x uchun yechish
x=-18
Grafik
Viktorina
Linear Equation
\frac { 4 } { x + 9 } - \frac { 2 } { x - 9 } = \frac { 5 x } { x ^ { 2 } - 81 }
Baham ko'rish
Klipbordga nusxa olish
\left(x-9\right)\times 4-\left(x+9\right)\times 2=5x
x qiymati -9,9 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(x-9\right)\left(x+9\right) ga, x+9,x-9,x^{2}-81 ning eng kichik karralisiga ko‘paytiring.
4x-36-\left(x+9\right)\times 2=5x
x-9 ga 4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4x-36-\left(2x+18\right)=5x
x+9 ga 2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4x-36-2x-18=5x
2x+18 teskarisini topish uchun har birining teskarisini toping.
2x-36-18=5x
2x ni olish uchun 4x va -2x ni birlashtirish.
2x-54=5x
-54 olish uchun -36 dan 18 ni ayirish.
2x-54-5x=0
Ikkala tarafdan 5x ni ayirish.
-3x-54=0
-3x ni olish uchun 2x va -5x ni birlashtirish.
-3x=54
54 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.
x=\frac{54}{-3}
Ikki tarafini -3 ga bo‘ling.
x=-18
-18 ni olish uchun 54 ni -3 ga bo‘ling.
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Oʻngga
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Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}