Baholash
9+i
Ashyoviy qism
9
Baham ko'rish
Klipbordga nusxa olish
4-9i+\frac{25i\left(2-i\right)}{\left(2+i\right)\left(2-i\right)}
\frac{25i}{2+i}ning surat va maxrajini murakkab tutash maxraj 2-i bilan ko‘paytiring.
4-9i+\frac{25i\left(2-i\right)}{2^{2}-i^{2}}
Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
4-9i+\frac{25i\left(2-i\right)}{5}
Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.
4-9i+\frac{25i\times 2+25\left(-1\right)i^{2}}{5}
25i ni 2-i marotabaga ko'paytirish.
4-9i+\frac{25i\times 2+25\left(-1\right)\left(-1\right)}{5}
Ta’rifi bo‘yicha, i^{2} – bu -1.
4-9i+\frac{25+50i}{5}
25i\times 2+25\left(-1\right)\left(-1\right) ichidagi ko‘paytirishlarni bajaring. Shartlarni qayta saralash.
4-9i+\left(5+10i\right)
5+10i ni olish uchun 25+50i ni 5 ga bo‘ling.
4+5+\left(-9+10\right)i
4-9i va 5+10i sonlari ichida real va mavhum qismlarni birlashtiring.
9+i
4 ni 5 ga qo'shish. -9 ni 10 ga qo'shish.
Re(4-9i+\frac{25i\left(2-i\right)}{\left(2+i\right)\left(2-i\right)})
\frac{25i}{2+i}ning surat va maxrajini murakkab tutash maxraj 2-i bilan ko‘paytiring.
Re(4-9i+\frac{25i\left(2-i\right)}{2^{2}-i^{2}})
Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
Re(4-9i+\frac{25i\left(2-i\right)}{5})
Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.
Re(4-9i+\frac{25i\times 2+25\left(-1\right)i^{2}}{5})
25i ni 2-i marotabaga ko'paytirish.
Re(4-9i+\frac{25i\times 2+25\left(-1\right)\left(-1\right)}{5})
Ta’rifi bo‘yicha, i^{2} – bu -1.
Re(4-9i+\frac{25+50i}{5})
25i\times 2+25\left(-1\right)\left(-1\right) ichidagi ko‘paytirishlarni bajaring. Shartlarni qayta saralash.
Re(4-9i+\left(5+10i\right))
5+10i ni olish uchun 25+50i ni 5 ga bo‘ling.
Re(4+5+\left(-9+10\right)i)
4-9i va 5+10i sonlari ichida real va mavhum qismlarni birlashtiring.
Re(9+i)
4 ni 5 ga qo'shish. -9 ni 10 ga qo'shish.
9
9+i ning real qismi – 9.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}