1. Find the complex number a+bi where a, b €R for the following: a) √-3-41

b) √-5+12i

c) √12i

d) √-24+10

2. Use the result in 1(d) to solve 2-3(1+i)z+2(3+i)=0.

3. If=2-2√3i, Express z in the form a+bi where a, be R. 4. Find a quadratic equation whose roots are:

(a) -2±1

b) 2+√√5i

c) −1+√2​

d

step-by-step explanation:

in a an geometric explicit equation, the first number is the starting rate. in this case 10.

true

explanation:

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

answer: it depends on what the tax percentage