Q=K*sqrt{P} eching

$$Q = K \times \sqrt { P }$$

K uchun yechish

$$\left\{\begin{matrix}K=\frac{Q}{\sqrt{P}}\text{, }&P>0\\K\in \mathrm{R}\text{, }&P=0\text{ and }Q=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$K\sqrt{P}=Q$$

Tenglama standart shaklda.

$$\sqrt{P}K=Q$$

Ikki tarafini \sqrt{P} ga bo‘ling.

$$\frac{\sqrt{P}K}{\sqrt{P}}=\frac{Q}{\sqrt{P}}$$

\sqrt{P} ga bo'lish \sqrt{P} ga ko'paytirishni bekor qiladi.

$$K=\frac{Q}{\sqrt{P}}$$

P uchun yechish

$$\left\{\begin{matrix}P=\left(\frac{Q}{K}\right)^{2}\text{, }&\left(Q\geq 0\text{ and }K>0\right)\text{ or }\left(Q\leq 0\text{ and }K<0\right)\\P\geq 0\text{, }&Q=0\text{ and }K=0\end{matrix}\right,$$

Ildizli tenglamalarni yechish qadamlari

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$K\sqrt{P}=Q$$

Ikki tarafini K ga bo‘ling.

$$\frac{K\sqrt{P}}{K}=\frac{Q}{K}$$

K ga bo'lish K ga ko'paytirishni bekor qiladi.

$$\sqrt{P}=\frac{Q}{K}$$

Tenglamaning ikkala taraf kvadratini chiqarish.

$$P=\frac{Q^{2}}{K^{2}}$$