-(4%2B5%2F2i).jpeg "(1/5+2/5i)-(4+5/2i)")
Solving Complex Numbers: (1/5 + 2/5i) - (4 + 5/2i)
This article will guide you through the process of simplifying the complex number expression: (1/5 + 2/5i) - (4 + 5/2i).
Understanding Complex Numbers
Complex numbers are numbers that can be expressed in the form a + bi, where 'a' and 'b' are real numbers, and 'i' is the imaginary unit, defined as the square root of -1.
Simplifying the Expression
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Distribute the negative sign: (1/5 + 2/5i) - (4 + 5/2i) = 1/5 + 2/5i - 4 - 5/2i
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Combine real and imaginary terms: (1/5 - 4) + (2/5 - 5/2)i
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Find a common denominator for the fractions: (-19/5) + (-21/10)i
Final Result
Therefore, the simplified form of the expression (1/5 + 2/5i) - (4 + 5/2i) is (-19/5) + (-21/10)i.
This represents a complex number with a real part of -19/5 and an imaginary part of -21/10.