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What are imaginary numbers of the form a bi and a-bi?
Those are both 'complex' numbers. Together, they are a pair of complex conjugates.
What two numbers multiply to equal 40 and add together to equal 12?
52
Is the sum of two conjugate complex number a real number?
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
What 2 numbers give you 112 when multiply them and give you -12 when you add them?
The complex conjugate pair, -6 -8.7178i and -6 +8.7178i where i is the imaginary square root of -1.The complex conjugate pair -6 -8.7178i and -6 +8.7178i where i is the imaginary square root of -1.
What numbers add up to -25 and multiply to 300?
275
If the discriminant is negative the equation has?
No real roots but the roots are a pair of complex conjugates.
Name 2 complex number that when multiplied together become a real number?
Any pair of complex conjugates do that.
What are imaginary numbers of the form a bi and a-bi?
Those are both 'complex' numbers. Together, they are a pair of complex conjugates.
What two numbers multiply to equal 40 and add together to equal 12?
52
Can you figure out two complex numbers that when mulitplied together become a real number?
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.
Is the sum of two conjugate complex number a real number?
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
What 2 numbers give you 112 when multiply them and give you -12 when you add them?
The complex conjugate pair, -6 -8.7178i and -6 +8.7178i where i is the imaginary square root of -1.The complex conjugate pair -6 -8.7178i and -6 +8.7178i where i is the imaginary square root of -1.
What numbers add up to -25 and multiply to 300?
275
What two numbers multiply to give you 2080 and add to give you 50?
2130
What two numbers multiply 1764 but add to 49?
1813
What numbers multiply to 140 and add to -5?
135
What two numbers can you multiply together to equal 20 and add together to equal one?
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 ] .
