Writing complex numbers in form a + b iCan i + 2 be expressed as...

Emiliano Guzman

Emiliano Guzman

Answered

2022-12-05

Writing complex numbers in form a + b i
Can i + 2 be expressed as a + b i with a , b R ? In general, what kinds of expressions can be rewritten in that form?

Answer & Explanation

Laylah Henry

Laylah Henry

Expert

2022-12-06Added 7 answers

You can express such an expression in the form a + i b
Let
x + i y = i + 2 ( x + i y ) 2 = ( i + 2 ) 2 x 2 y 2 + 2 i x y = i + 2
Now you only need to solve the equations x 2 y 2 = 2 , and x y = 1 2 to get the values of x and y

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