What is the answer to (2+i)2=c+di ?

The answer to (2+i)2=c+di is c=4,d=2

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(2+i)2=c+di

(2 + i) 2 = c + d i

c = 4, d = 2

Solution steps

(2 + i) \cdot 2 = c + d i

Rewrite

(2 + i) 2

in standard complex form:

4 + 2 i

4 + 2 i = c + d i

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[4 = c 2 = d]

[4 = c 2 = d] : c = 4, d = 2

c = 4, d = 2

v = \frac{2 r}{i}

(x - y i)^{2} = 9 (x + y i)

\frac{2 + i}{1 + i} = a + bi

x^{2} - (2 + 3 i) = 0

2 x^{2} - 2 i x - 1 = 0