Topic: Complex Numbers

Solve the problem 1, problem 8, problem 9, problem 10: (a) (b) (c)

Exercise 85 Further problems on the introduction to cartesian complex numbers In Problems I to 9, solve the quadratic equations. 1. x2+25=0 [+j5] 2. x2- 2x + 2=0 [x = 1+ j] 3. x2 - 4x +5=0 [x =2+ j] 4. x2 - 6.x + 10=0 [x=3+ j] 5. 2x2 - 2r + 1=0 [x =0.5 + j0.5] 6. x2 -4x +8=0 [x=2+ j2] 7. 25x2 - 10x + 2=0 [x =0.2 + j0.2] 8. 2x2+ 3x +4=0 23 4 or -0.750+ /1.199 9. 412-51+7=0 87 or 0.625+ /1.166 8 4 10. Evaluate (a) j (b) - (c) 213 [(a) 1 (b) -j (c) -j2]