3b/2*b=b^37divx eching

$$3 \frac { b } { 2 } \times b = b ^ { 37 } \div x$$

x uchun yechish

$$\left\{\begin{matrix}x=\frac{2b^{35}}{3}\text{, }&b\neq 0\\x\neq 0\text{, }&b=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2x ga, 2,x ning eng kichik karralisiga ko‘paytiring.

$$3xbb=2b^{37}$$

b^{2} hosil qilish uchun b va b ni ko'paytirish.

$$3xb^{2}=2b^{37}$$

Tenglama standart shaklda.

$$3b^{2}x=2b^{37}$$

Ikki tarafini 3b^{2} ga bo‘ling.

$$\frac{3b^{2}x}{3b^{2}}=\frac{2b^{37}}{3b^{2}}$$

3b^{2} ga bo'lish 3b^{2} ga ko'paytirishni bekor qiladi.

$$x=\frac{2b^{37}}{3b^{2}}$$

2b^{37} ni 3b^{2} ga bo'lish.

$$x=\frac{2b^{35}}{3}$$

x qiymati 0 teng bo‘lmaydi.

$$x=\frac{2b^{35}}{3}\text{, }x\neq 0$$

b uchun yechish (complex solution)

$$b=0$$

$$b=\frac{2^{\frac{34}{35}}\sqrt[35]{3x}e^{\frac{2\pi n_{1}i}{35}}}{2}\text{, }n_{1}\in \mathrm{Z}\text{, }x\neq 0$$

b uchun yechish

$$b=\frac{2^{\frac{34}{35}}\sqrt[35]{3x}}{2}$$

$$b=0\text{, }x\neq 0$$