다음을 풀어보세요: {l}{-1=a_{1}*q^8}{-32=a_{1}*q^12}

$$\left\{ \begin{array} { l } { - 1 = a _ { 1 } \cdot q ^ { 8 } } \\ { - 32 = a _ { 1 } \cdot q ^ { 12 } } \end{array} \right.$$

a_1, q에 대한 해 (complex solution)

$$a_{1}=-\frac{1}{1024}=-0.000976562\text{, }q=2^{\frac{5}{4}}\approx 2.37841423$$

$$a_{1}=-\frac{1}{1024}=-0.000976562\text{, }q=\sqrt[4]{2}\times \left(2i\right)\approx 2.37841423i$$

$$a_{1}=-\frac{1}{1024}=-0.000976562\text{, }q=-2^{\frac{5}{4}}\approx -2.37841423$$

$$a_{1}=-\frac{1}{1024}=-0.000976562\text{, }q=-\sqrt[4]{2}\times \left(2i\right)\approx -0-2.37841423i$$

a_1, q에 대한 해

$$a_{1}=-\frac{1}{1024}=-0.000976562\text{, }q=-2^{\frac{5}{4}}\approx -2.37841423$$

$$a_{1}=-\frac{1}{1024}=-0.000976562\text{, }q=2^{\frac{5}{4}}\approx 2.37841423$$