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What are complex numbers? I mean what is their significance?

What are complex numbers? I mean what is their significance?

Grade:12

2 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
10 years ago
Imaginary/complex numbers are multiples of i. Like 2i, 4i, 2.881i etc... They arise because not all equations can be solved by using only real numbers. Real numbers are all numbers ranging from - infinity to + infinity.

For example, we cannot solve x^2 + 1 = 0 using real numbers. This is where imaginary numbers step in. If we "define" the square root of -1 to be i, then we can solve the above equation by saying x = i.

THanks
Bharat Bajaj
IIT Delhi
askiitians faculty
bharat bajaj IIT Delhi
askIITians Faculty 122 Points
10 years ago
Imaginary/complex numbers are multiples of i. Like 2i, 4i, 2.881i etc... They arise because not all equations can be solved by using only real numbers. Real numbers are all numbers ranging from - infinity to + infinity.

For example, we cannot solve x^2 + 1 = 0 using real numbers.This is where imaginary numbers step in. If we "define" the square root of -1 to be i, then we can solve the above equation by saying x = i.

THanks
Bharat Bajaj
IIT Delhi
askiitians faculty

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