Question

$(a-ai)^{20}=-2^{30 }$ ise $a=?$

Answer 1

$$(a-ai)^{20}=-2^{30}\Rightarrow a^{20}(1-i)^{20}=-2^{30}\Rightarrow a^{20}((1-i)^2)^{10}=-2^{30}$$

$$\Rightarrow$$

$$a^{20}(-2i)^{10}=-2^{30}$$

$$\Rightarrow$$

$$a^{20}(-2^{10})=-2^{30}$$

$$\Rightarrow$$

$$a^{20}=2^{20}$$

$$\Rightarrow$$

$$a=\ldots$$ bulunur.

Comments

$a=2cis(\frac{2k\pi}{20}), k \in Z$

---

Anlamadim hicbisey.

---

@muradozkoc tesekkur ederim:)

---

Cevap -4/3 yalniz!!!!!!!!!