boedipscope boedipscope
  • 04-08-2017
  • Mathematics
contestada

The quadratic equation x2 + mx + q = 0, where m and q are real numbers, has the complex root a + bi.?

Respuesta :

jbmow
jbmow jbmow
  • 04-08-2017
Remember the quadratic formula determinant?
If b^2 -4ac < 0, a complex root exists.

So for this problem, m^2 - 4q is the determinant, and if less than 0, is complex.

So a=-m/2   and b=(1/2)SQRT(m^2 - 4q)


Answer Link

Otras preguntas

Katie loves to read! In the last few months she has read 3 graphic novels, 2 mysteries, 444 sci-fi novels, and 21 comic books. What is the ratio of sci-fi novel
a biome that is warm and humid
The sum of two numbers is 3 less than double the larger number and is 5 more than twice their difference, find the numbers
What term can best describe the league of nations with respect to its members? A)Regional organisation B)Global organisation C)organisation with limited members
explain eutrophication and biological magnification with examples
Given the two points (3,6) and (-2,5), determine the slope of the line.
Which of the following is an appropriate way to treat your opponents? A. Name calling B.Taunting C.Congratulating them on their performance D.Making rude gestur
how do spell milk in spanish
which type of data would be best displayed in a histogram? A:the number of dental chairs donated each for the last 12 (range 1-9) B:the number of students seen
Element X decays radioactively with a half life of 9 minutes. If there are 530 grams of Element X, how long, to the nearest tenth of a minute, would it take th