k uchun yechish (complex solution)
\left\{\begin{matrix}\\k=\frac{x}{2}\text{, }&\text{unconditionally}\\k\in \mathrm{C}\text{, }&x=2\end{matrix}\right,
k uchun yechish
\left\{\begin{matrix}\\k=\frac{x}{2}\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&x=2\end{matrix}\right,
x uchun yechish
x=2k
x=2
Grafik
Baham ko'rish
Klipbordga nusxa olish
x^{2}-2\left(k+1\right)x+4k=0
-2 hosil qilish uchun -1 va 2 ni ko'paytirish.
x^{2}+\left(-2k-2\right)x+4k=0
-2 ga k+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}-2kx-2x+4k=0
-2k-2 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-2kx-2x+4k=-x^{2}
Ikkala tarafdan x^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
-2kx+4k=-x^{2}+2x
2x ni ikki tarafga qo’shing.
\left(-2x+4\right)k=-x^{2}+2x
k'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(4-2x\right)k=2x-x^{2}
Tenglama standart shaklda.
\frac{\left(4-2x\right)k}{4-2x}=\frac{x\left(2-x\right)}{4-2x}
Ikki tarafini -2x+4 ga bo‘ling.
k=\frac{x\left(2-x\right)}{4-2x}
-2x+4 ga bo'lish -2x+4 ga ko'paytirishni bekor qiladi.
k=\frac{x}{2}
x\left(2-x\right) ni -2x+4 ga bo'lish.
x^{2}-2\left(k+1\right)x+4k=0
-2 hosil qilish uchun -1 va 2 ni ko'paytirish.
x^{2}+\left(-2k-2\right)x+4k=0
-2 ga k+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}-2kx-2x+4k=0
-2k-2 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-2kx-2x+4k=-x^{2}
Ikkala tarafdan x^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
-2kx+4k=-x^{2}+2x
2x ni ikki tarafga qo’shing.
\left(-2x+4\right)k=-x^{2}+2x
k'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(4-2x\right)k=2x-x^{2}
Tenglama standart shaklda.
\frac{\left(4-2x\right)k}{4-2x}=\frac{x\left(2-x\right)}{4-2x}
Ikki tarafini -2x+4 ga bo‘ling.
k=\frac{x\left(2-x\right)}{4-2x}
-2x+4 ga bo'lish -2x+4 ga ko'paytirishni bekor qiladi.
k=\frac{x}{2}
x\left(2-x\right) ni -2x+4 ga bo'lish.
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