x=1/sqrt{a-sqrt{b}} eching

$$x = \frac { 1 } { \sqrt { a } - \sqrt { b } }$$

a uchun yechish (complex solution)

$$a=\left(\sqrt{b}+\frac{1}{x}\right)^{2}$$

$$\left(x=-b^{-\frac{1}{2}}\text{ and }b\neq 0\right)\text{ or }\left(x\neq -\frac{b^{-\frac{1}{2}}}{2}\text{ and }x\neq 0\text{ and }arg(\sqrt{b}+\frac{1}{x})<\pi \text{ and }x\neq -b^{-\frac{1}{2}}\text{ and }b\neq 0\right)\text{ or }\left(b=0\text{ and }x\neq 0\text{ and }arg(\frac{1}{x})<\pi \right)$$

b uchun yechish (complex solution)

$$b=\left(\sqrt{a}-\frac{1}{x}\right)^{2}$$

$$\left(x=a^{-\frac{1}{2}}\text{ and }a\neq 0\right)\text{ or }\left(x\neq \frac{a^{-\frac{1}{2}}}{2}\text{ and }x\neq 0\text{ and }arg(\sqrt{a}-\frac{1}{x})<\pi \text{ and }x\neq a^{-\frac{1}{2}}\text{ and }a\neq 0\right)\text{ or }\left(a=0\text{ and }x\neq 0\text{ and }arg(\frac{1}{x})\geq \pi \right)$$

a uchun yechish

$$a=\left(\sqrt{b}+\frac{1}{x}\right)^{2}$$

$$\left(b>0\text{ and }x\leq -\frac{1}{\sqrt{b}}\right)\text{ or }\left(b\geq 0\text{ and }x>0\right)$$

b uchun yechish

$$b=\left(\sqrt{a}-\frac{1}{x}\right)^{2}$$

$$\left(x\geq \frac{1}{\sqrt{a}}\text{ and }a>0\right)\text{ or }\left(a\geq 0\text{ and }x<0\right)$$