3t+12it=4) eching

$$3 t + 12 i t = 4 )$$

t uchun yechish

$$t=\frac{4}{51}-\frac{16}{51}i\approx 0,078431373-0,31372549i$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\left(3+12i\right)t ni olish uchun 3t va 12it ni birlashtirish.

$$\left(3+12i\right)t=4$$

Ikki tarafini 3+12i ga bo‘ling.

$$t=\frac{4}{3+12i}$$

\frac{4}{3+12i}ning surat va maxrajini murakkab tutash maxraj 3-12i bilan ko‘paytiring.

$$t=\frac{4\left(3-12i\right)}{\left(3+12i\right)\left(3-12i\right)}$$

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$t=\frac{4\left(3-12i\right)}{3^{2}-12^{2}i^{2}}$$

Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.

$$t=\frac{4\left(3-12i\right)}{153}$$

4 ni 3-12i marotabaga ko'paytirish.

$$t=\frac{4\times 3+4\times \left(-12i\right)}{153}$$

4\times 3+4\times \left(-12i\right) ichidagi ko‘paytirishlarni bajaring.

$$t=\frac{12-48i}{153}$$

\frac{4}{51}-\frac{16}{51}i ni olish uchun 12-48i ni 153 ga bo‘ling.

$$t=\frac{4}{51}-\frac{16}{51}i$$