y uchun yechish (complex solution)
y=\left(x^{2}-4\right)x^{x-1}
x\neq 0
y uchun yechish
y=\left(x^{2}-4\right)x^{x-1}
\left(x<0\text{ and }Denominator(x)\text{bmod}2=1\right)\text{ or }x>0
Grafik
Baham ko'rish
Klipbordga nusxa olish
xy=x^{x}x^{2}-4x^{x}
x^{x} ga x^{2}-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
xy=x^{x+2}-4x^{x}
Tenglama standart shaklda.
\frac{xy}{x}=\frac{\left(x^{2}-4\right)x^{x}}{x}
Ikki tarafini x ga bo‘ling.
y=\frac{\left(x^{2}-4\right)x^{x}}{x}
x ga bo'lish x ga ko'paytirishni bekor qiladi.
y=\left(x^{2}-4\right)x^{x-1}
x^{x}\left(x^{2}-4\right) ni x ga bo'lish.
xy=x^{x}x^{2}-4x^{x}
x^{x} ga x^{2}-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
xy=x^{x+2}-4x^{x}
Tenglama standart shaklda.
\frac{xy}{x}=\frac{\left(x^{2}-4\right)x^{x}}{x}
Ikki tarafini x ga bo‘ling.
y=\frac{\left(x^{2}-4\right)x^{x}}{x}
x ga bo'lish x ga ko'paytirishni bekor qiladi.
y=\left(x^{2}-4\right)x^{x-1}
x^{x}\left(x^{2}-4\right) ni x ga bo'lish.
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