c uchun yechish (complex solution)
\left\{\begin{matrix}c=\frac{E}{3\left(2\Delta +\lambda \right)}\text{, }&\lambda \neq -2\Delta \\c\in \mathrm{C}\text{, }&E=0\text{ and }\lambda =-2\Delta \end{matrix}\right,
c uchun yechish
\left\{\begin{matrix}c=\frac{E}{3\left(2\Delta +\lambda \right)}\text{, }&\lambda \neq -2\Delta \\c\in \mathrm{R}\text{, }&E=0\text{ and }\lambda =-2\Delta \end{matrix}\right,
E uchun yechish
E=3c\left(2\Delta +\lambda \right)
Baham ko'rish
Klipbordga nusxa olish
E=3\lambda c+6\Delta c
3 ga \lambda c+2\Delta c ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3\lambda c+6\Delta c=E
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
\left(3\lambda +6\Delta \right)c=E
c'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(6\Delta +3\lambda \right)c=E
Tenglama standart shaklda.
\frac{\left(6\Delta +3\lambda \right)c}{6\Delta +3\lambda }=\frac{E}{6\Delta +3\lambda }
Ikki tarafini 3\lambda +6\Delta ga bo‘ling.
c=\frac{E}{6\Delta +3\lambda }
3\lambda +6\Delta ga bo'lish 3\lambda +6\Delta ga ko'paytirishni bekor qiladi.
c=\frac{E}{3\left(2\Delta +\lambda \right)}
E ni 3\lambda +6\Delta ga bo'lish.
E=3\lambda c+6\Delta c
3 ga \lambda c+2\Delta c ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3\lambda c+6\Delta c=E
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
\left(3\lambda +6\Delta \right)c=E
c'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(6\Delta +3\lambda \right)c=E
Tenglama standart shaklda.
\frac{\left(6\Delta +3\lambda \right)c}{6\Delta +3\lambda }=\frac{E}{6\Delta +3\lambda }
Ikki tarafini 3\lambda +6\Delta ga bo‘ling.
c=\frac{E}{6\Delta +3\lambda }
3\lambda +6\Delta ga bo'lish 3\lambda +6\Delta ga ko'paytirishni bekor qiladi.
c=\frac{E}{3\left(2\Delta +\lambda \right)}
E ni 3\lambda +6\Delta ga bo'lish.
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