x uchun yechish (complex solution)
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&x_{3}=0\end{matrix}\right,
x_3 uchun yechish (complex solution)
\left\{\begin{matrix}\\x_{3}=0\text{, }&\text{unconditionally}\\x_{3}\in \mathrm{C}\text{, }&x=0\end{matrix}\right,
x_3 uchun yechish
\left\{\begin{matrix}\\x_{3}=0\text{, }&\text{unconditionally}\\x_{3}\in \mathrm{R}\text{, }&x=0\end{matrix}\right,
x uchun yechish
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&x_{3}=0\end{matrix}\right,
Grafik
Baham ko'rish
Klipbordga nusxa olish
x^{2}=\frac{0}{7x_{3}}
7x_{3} ga bo'lish 7x_{3} ga ko'paytirishni bekor qiladi.
x^{2}=0
0 ni 7x_{3} ga bo'lish.
x=0 x=0
Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.
x=0
Tenglama yechildi. Yechimlar bir xil.
7x_{3}x^{2}=0
Bu kabi kvadrat tenglamalarni x^{2} sharti bilan, biroq x shartisiz hamon kvadrat tenglamasidan foydalanib yechish mumkin, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ular standart formulaga solingandan so'ng: ax^{2}+bx+c=0.
x=\frac{0±\sqrt{0^{2}}}{2\times 7x_{3}}
Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 7x_{3} ni a, 0 ni b va 0 ni c bilan almashtiring.
x=\frac{0±0}{2\times 7x_{3}}
0^{2} ning kvadrat ildizini chiqarish.
x=\frac{0}{14x_{3}}
2 ni 7x_{3} marotabaga ko'paytirish.
x=0
0 ni 14x_{3} ga bo'lish.
7x^{2}x_{3}=0
Tenglama standart shaklda.
x_{3}=0
0 ni 7x^{2} ga bo'lish.
7x^{2}x_{3}=0
Tenglama standart shaklda.
x_{3}=0
0 ni 7x^{2} ga bo'lish.
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