1ve:3x/4+x/6=22 eching

$$1 v e : \frac { 3 x } { 4 } + \frac { x } { 6 } = 22$$

v uchun yechish

$$v=-\frac{x\left(x-132\right)}{8e}$$

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 6 ga ko'paytirish.

$$8x^{-1}\times 1ve+x=132$$

8 hosil qilish uchun 8 va 1 ni ko'paytirish.

$$8x^{-1}ve+x=132$$

Ikkala tarafdan x ni ayirish.

$$8x^{-1}ve=132-x$$

Shartlarni qayta saralash.

$$8e\times \frac{1}{x}v=-x+132$$

Tenglamaning ikkala tarafini x ga ko'paytirish.

$$8e\times 1v=-xx+x\times 132$$

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

$$8e\times 1v=-x^{2}+x\times 132$$

8 hosil qilish uchun 8 va 1 ni ko'paytirish.

$$8ev=-x^{2}+x\times 132$$

Tenglama standart shaklda.

$$8ev=132x-x^{2}$$

Ikki tarafini 8e ga bo‘ling.

$$\frac{8ev}{8e}=\frac{x\left(132-x\right)}{8e}$$

8e ga bo'lish 8e ga ko'paytirishni bekor qiladi.

$$v=\frac{x\left(132-x\right)}{8e}$$

x uchun yechish (complex solution)

$$\left\{\begin{matrix}\\x=2\sqrt{1089-2ev}+66\text{, }&\text{unconditionally}\\x=-2\sqrt{1089-2ev}+66\text{, }&v\neq 0\end{matrix}\right,$$

x uchun yechish

$$\left\{\begin{matrix}x=-2\sqrt{1089-2ev}+66\text{, }&v\neq 0\text{ and }v\leq \frac{1089}{2e}\\x=2\sqrt{1089-2ev}+66\text{, }&v\leq \frac{1089}{2e}\end{matrix}\right,$$