Complex numbers: i, adding, multiplying, dividing
Meet the number i with i² = −1, add complex numbers as points on the plane, multiply them like brackets and divide with the conjugate.
- سوريا: الصف ١٢
- فلسطين: الصف ١٢
- أفغانستان: الصف ١٠
- روسيا: الصف ١١
- فرنسا: الصف ١٢
- بريطانيا: السنة ١٢
لم يُترجَم هذا المختبر إلى هذه اللغة بعد.
الدليل
The imaginary unit is i, with i٢ = −١. A complex number is written a + bi: a is the real part and b is the imaginary part. On the complex plane the real part goes across and the imaginary part goes up, so ٢ + ٣i is the point 2 across and 3 up.
To add, add the real parts and add the imaginary parts. To multiply, expand the brackets, then replace i٢ by −١.
To divide, multiply the top and the bottom by the conjugate of the bottom. The conjugate of a + bi is a − bi, and (a + bi)(a − bi) = a٢ + b٢ is a real number.