Riješi a^4-b^4=175

$$a ^ { 4 } - b ^ { 4 } = 175$$

Riješite za a (complex solution)

$$a=i\sqrt[4]{b^{4}+175}$$

$$a=\sqrt[4]{b^{4}+175}$$

$$a=-\sqrt[4]{b^{4}+175}$$

$$a=-i\sqrt[4]{b^{4}+175}$$

Riješite za b (complex solution)

$$b=i\sqrt[4]{a^{4}-175}$$

$$b=\sqrt[4]{a^{4}-175}$$

$$b=-\sqrt[4]{a^{4}-175}$$

$$b=-i\sqrt[4]{a^{4}-175}$$

Riješite za a

$$a=\sqrt[4]{b^{4}+175}$$

$$a=-\sqrt[4]{b^{4}+175}$$

Riješite za b

$$\left\{\begin{matrix}b=\sqrt{-\sqrt{a^{4}-175}}\text{; }b=-\sqrt{-\sqrt{a^{4}-175}}\text{, }&a=\sqrt[4]{175}\text{ or }\left(-\sqrt[4]{175}=-\sqrt{5}\sqrt[4]{7}\text{ and }a=-\sqrt[4]{175}\right)\text{ or }\left(a=-\sqrt{5}\sqrt[4]{7}\text{ and }\sqrt{5}\sqrt[4]{7}<\sqrt[4]{175}\right)\\b=\sqrt[4]{a^{4}-175}\text{; }b=-\sqrt[4]{a^{4}-175}\text{, }&|a|\geq \sqrt[4]{175}\end{matrix}\right,$$