Tenglamani yeching: $\frac{3}{x+1} + \frac{2}{x-1} = \frac{5x}{x^2-1}$
- A. $x = 1$
- B. Har qanday $x \neq \pm 1$ son yechim bo'ladi
- C. $x = -1$
- D. Yechimi yo'q
Algebraik kasrlar bo‘yicha savol
Javob va yechimni ko‘rish
Javob: Yechimi yo'q
$x\ne\pm1$ da ikki tomonni $x^2-1$ ga ko‘paytirsak, $3(x-1)+2(x+1)=5x$ chiqadi. Bu $5x-1=5x$ bo‘lib, yechimga ega emas.
Mavzuni mustahkamlang
Bu savol Algebraik kasrlar mavzusiga tegishli. Ta’riflar, formulalar va misollarni mavzu sahifasida ko‘ring.
Mavzuni o‘rganishShu mavzudagi boshqa savollar
Ifodani soddalashtiring: $\frac{x^2 - 9}{x^2 + 6x + 9} \cdot \frac{x + 3}{x - 3}$Kasrlarni ayiring: $\frac{2a}{a^2 - b^2} - \frac{1}{a - b}$Tenglamani yeching: $\frac{x}{x-2} - \frac{2}{x-2} = 1$Ifodani soddalashtiring: $\left(\frac{1}{x} + \frac{1}{y}\right) : \frac{x^2 - y^2}{xy}$Agar $x + \frac{1}{x} = 5$ bo'lsa, $x^2 + \frac{1}{x^2}$ ning qiymatini toping.