Complex Numbers
by sakeena zehra Kazmi
1. MULTIPLY BY THE CONJUGATE TO DIVIDE
1.1. ((14+8i) ÷ (2+3i)) ×((2-3i) ÷(2-3i)) (FOILS AGAIN, WRITE AS FRACTION
2. Arithmatic Of Complex Numbers
2.1. ADDITION
2.1.1. (2+3i) + (2-5i) = 7+i
2.2. SUBTRACTION
2.2.1. (-7-3i) - (2-5i) = -9+2i
2.3. MULTIPLICATION
2.3.1. (2+3i)(4-2i)
2.3.2. =8 +8i +6
2.3.3. =14+6
3. Introduction
3.1. Number line
3.1.1. Real part
3.1.2. Imaginary part (contains iota)
4. Modulus of complex number
5. Conjugate of complex number
6. Exponents of iota
7. Representation
7.1. Argand plane
7.2. Polar
8. Roots of Quadratic Equations
8.1. Quadratic Formula
8.1.1. Shri Dharacharya method of solving roots of quadratic equations.