Question

3+2i/(4-5i) (2+I) solition

Answer 1

z = 3 + 2i/(4-5i) (2 + i)  

Algebraic form:

z = 2.3170732+0.1463415i

Exponential form:

z = 2.32169 × ei 3°36'50″

Trigonometric form:

z = 2.32169 × (cos 3°36'50″ + i sin 3°36'50″)

Polar form:  

r = |z| = 2.32169

φ = arg z = 3.61388° = 3°36'50″ = 0.02008π  

Calculation steps

Divide: 2i / (4-5i) = 2i

4-5i

= 2i*(4+5i)

(4-5i)*(4+5i)

= 8i-10

41

= -10+8i

41

= -0.2439024+0.195122i

HOPE IT HELPED YOU ✨

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Answer 2

3+2i/(4-5i) (2+I) solition