1/2mv^2=1/2*(21*10^3)(29*10^3)^2 eching

$$\frac { 1 } { 2 } m v ^ { 2 } = \frac { 1 } { 2 } \cdot ( 21 \times 10 ^ { 3 } ) ( 29 \times 10 ^ { 3 } ) ^ { 2 }$$

m uchun yechish

$$m=\frac{17661000000000}{v^{2}}$$

$$v\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{1}{2}ni ikki tarafidan bekor qilish.

$$mv^{2}=21\times 10^{3}\times \left(29\times 10^{3}\right)^{2}$$

3 daraja ko‘rsatkichini 10 ga hisoblang va 1000 ni qiymatni oling.

$$mv^{2}=21\times 1000\times \left(29\times 10^{3}\right)^{2}$$

21000 hosil qilish uchun 21 va 1000 ni ko'paytirish.

$$mv^{2}=21000\times \left(29\times 10^{3}\right)^{2}$$

3 daraja ko‘rsatkichini 10 ga hisoblang va 1000 ni qiymatni oling.

$$mv^{2}=21000\times \left(29\times 1000\right)^{2}$$

29000 hosil qilish uchun 29 va 1000 ni ko'paytirish.

$$mv^{2}=21000\times 29000^{2}$$

2 daraja ko‘rsatkichini 29000 ga hisoblang va 841000000 ni qiymatni oling.

$$mv^{2}=21000\times 841000000$$

17661000000000 hosil qilish uchun 21000 va 841000000 ni ko'paytirish.

$$mv^{2}=17661000000000$$

Tenglama standart shaklda.

$$v^{2}m=17661000000000$$

Ikki tarafini v^{2} ga bo‘ling.

$$\frac{v^{2}m}{v^{2}}=\frac{17661000000000}{v^{2}}$$

v^{2} ga bo'lish v^{2} ga ko'paytirishni bekor qiladi.

$$m=\frac{17661000000000}{v^{2}}$$

v uchun yechish (complex solution)

$$v=-290000\sqrt{210}m^{-\frac{1}{2}}$$

$$v=290000\sqrt{210}m^{-\frac{1}{2}}\text{, }m\neq 0$$

v uchun yechish

$$v=290000\sqrt{\frac{210}{m}}$$

$$v=-290000\sqrt{\frac{210}{m}}\text{, }m>0$$