1=667x10^-11*2*2/(D)^2 eching

$$1 = 667 \frac { x 10 ^ { - 11 } \times 2 \times 2 } { ( D ) ^ { 2 } }$$

x uchun yechish

$$x=\frac{25000000000D^{2}}{667}$$

$$D\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikki tarafini 667 ga bo‘ling.

$$\frac{1}{667}=\frac{x\times 10^{-11}\times 2\times 2}{D^{2}}$$

Tenglamaning ikkala tarafini 667D^{2} ga, 667,D^{2} ning eng kichik karralisiga ko‘paytiring.

$$D^{2}=667x\times 10^{-11}\times 2\times 2$$

-11 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{100000000000} ni qiymatni oling.

$$D^{2}=667x\times \frac{1}{100000000000}\times 2\times 2$$

\frac{667}{100000000000} hosil qilish uchun 667 va \frac{1}{100000000000} ni ko'paytirish.

$$D^{2}=\frac{667}{100000000000}x\times 2\times 2$$

\frac{667}{50000000000} hosil qilish uchun \frac{667}{100000000000} va 2 ni ko'paytirish.

$$D^{2}=\frac{667}{50000000000}x\times 2$$

\frac{667}{25000000000} hosil qilish uchun \frac{667}{50000000000} va 2 ni ko'paytirish.

$$D^{2}=\frac{667}{25000000000}x$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{667}{25000000000}x=D^{2}$$

Tenglamaning ikki tarafini \frac{667}{25000000000} ga bo'lish, bu kasrni qaytarish orqali ikkala tarafga ko'paytirish bilan aynidir.

$$\frac{\frac{667}{25000000000}x}{\frac{667}{25000000000}}=\frac{D^{2}}{\frac{667}{25000000000}}$$

\frac{667}{25000000000} ga bo'lish \frac{667}{25000000000} ga ko'paytirishni bekor qiladi.

$$x=\frac{D^{2}}{\frac{667}{25000000000}}$$

D^{2} ni \frac{667}{25000000000} ga bo'lish D^{2} ga k'paytirish \frac{667}{25000000000} ga qaytarish.

$$x=\frac{25000000000D^{2}}{667}$$

D uchun yechish (complex solution)

$$D=-\frac{\sqrt{6670x}}{500000}$$

$$D=\frac{\sqrt{6670x}}{500000}\text{, }x\neq 0$$

D uchun yechish

$$D=\frac{\sqrt{6670x}}{500000}$$

$$D=-\frac{\sqrt{6670x}}{500000}\text{, }x>0$$