What is (-5/3-1/4 i)+(-4/3+2/5 i) ?

The solution to (-5/3-1/4 i)+(-4/3+2/5 i) is -3+3/20 i

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simplify (-5/3-1/4 i)+(-4/3+2/5 i)

simplify

(- \frac{5}{3} - \frac{1}{4} i) + (- \frac{4}{3} + \frac{2}{5} i)

- 3 + \frac{3}{20} i

Solution steps

(- \frac{5}{3} - \frac{1}{4} i) + (- \frac{4}{3} + \frac{2}{5} i)

Group the real part and the imaginary part of the complex number

(a + bi) + (c + d i) = (a + c) + (b + d) i

= (- \frac{5}{3} - \frac{4}{3}) + (- \frac{1}{4} + \frac{2}{5}) i

Simplify

(- \frac{5}{3} - \frac{4}{3}) + (- \frac{1}{4} + \frac{2}{5}) i : - 3 + \frac{3}{20} i

= - 3 + \frac{3}{20} i

(1 - 2 i)^{2}

- 49 r^{2} + 1

64 v^{2} + 48 v + 9

2 x^{2} + 4 x + 16 > 0

10 x > 40

What is (-5/3-1/4 i)+(-4/3+2/5 i) ?
The solution to (-5/3-1/4 i)+(-4/3+2/5 i) is -3+3/20 i