Those are both 'complex' numbers. Together, they are a pair of complex conjugates.
52
Not necessarily. It can be wholly imaginary.For example, 1 + i actually has two complex conjugates. Most schools will teach you that the complex conjugate is 1 - i. However, -1 + i is also a conjugate for 1 + i. (Their product is -1 times the product of the "normal" conjugate pair).The sum of 1 + i and -1 + i = 2i
275
2130
No real roots but the roots are a pair of complex conjugates.
Those are both 'complex' numbers. Together, they are a pair of complex conjugates.
Any pair of complex conjugates do that.
52
3 and 5 are both complex numbers, and if you multiply them together, you get 15, which is a real number. If you were looking for two non-real complex numbers, then any pair of complex conjugates will work. For example, 5+2i times 5-2i is 29.
Not necessarily. It can be wholly imaginary.For example, 1 + i actually has two complex conjugates. Most schools will teach you that the complex conjugate is 1 - i. However, -1 + i is also a conjugate for 1 + i. (Their product is -1 times the product of the "normal" conjugate pair).The sum of 1 + i and -1 + i = 2i
275
2130
135
1813
There is no pair of real numbers or pure imaginary numbers that can do that.The pair that can is the conjugate pair of complex numbers [ 1/2 ± 1/2 sqrt(79) i ] .
The complex conjugate pair 1 ± 3.7417i where i is the imaginary square root of -1.