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2021
This chapter highlights complex numbers, which refer to numbers comprising both real and imaginary numbers. Some complex numbers can be easily simplified. If the imaginary part is expressed as the square root of a negative number, we merely take the root of the number.
Paul Monk, Lindsey J. Munro
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This chapter highlights complex numbers, which refer to numbers comprising both real and imaginary numbers. Some complex numbers can be easily simplified. If the imaginary part is expressed as the square root of a negative number, we merely take the root of the number.
Paul Monk, Lindsey J. Munro
+4 more sources
Complex Modular Numbers: Complex Numbers Need not be Complex
The Mathematics Teacher, 1976Most students are faced with the task of solving the equation x2 + 1 = 0 over the real numbers at some time in their algebra classes. After they substitute values for x unsuccessfully, they usually attempt to solve the equivalent equation x2 = -1. They soon realize that it is impossible to square a real number and obtain a negative number.
Susan J. Grant, Ward R. Stewart
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1970
In Part 1 of this programme on Complex Numbers, we discovered how to manipulate them in adding, subtracting, multiplying and dividing. We also finished Part 1 by seeing that a complex number a + jb can also be expressed in Polar Form, which is always of the form r(cos θ + j sin θ).
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In Part 1 of this programme on Complex Numbers, we discovered how to manipulate them in adding, subtracting, multiplying and dividing. We also finished Part 1 by seeing that a complex number a + jb can also be expressed in Polar Form, which is always of the form r(cos θ + j sin θ).
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1970
The solution of a quadratic equation ax2 + bx + c = 0 can, of course, be obtained by the formula.
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The solution of a quadratic equation ax2 + bx + c = 0 can, of course, be obtained by the formula.
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1993
Complex numbers, in close analogy with the negatives, rationals, and irrational numbers, are an extension of the whole number system. They make it possible to perform all the standard algebraic operations on all numbers—such as finding the square root of a negative number.
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Complex numbers, in close analogy with the negatives, rationals, and irrational numbers, are an extension of the whole number system. They make it possible to perform all the standard algebraic operations on all numbers—such as finding the square root of a negative number.
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