Question

find the product (z+3/4) (z+4/3) (please I need it really urgently)​

Answer 1

z∣+z=3+i

z=3−∣z∣+i

Let 3−∣z∣=a⟹∣z∣=(3−a)

⟹z=a+i⟹∣z∣=

a

2

+1

⟹9+a

2

−6a=a

2

+1⟹a=

6

8

=

3

4

⟹∣z∣=3−

3

4

=

3

5

Answer 2

Step-by-step explanation:

$(z + \frac{3}{4} )(z + \frac{4}{3} ) \\ = {z}^{2} + \frac{4z}{3} + \frac{3z}{4} + 1 \\ = \frac{12 {z}^{2} + 16z + 9z + 12 }{12} \\ = \frac{12 {z}^{2} + 25z + 12 }{12}$