addisonrausch addisonrausch
  • 17-09-2019
  • Mathematics
contestada

Factor the expression over the complex numbers x^2+20

Factor the expression over the complex numbers x220 class=

Respuesta :

luchoprat
luchoprat luchoprat
  • 17-09-2019

Answer:

[tex](x - 2i\sqrt{5} )(x+2i\sqrt{5} )[/tex]

Step-by-step explanation:

To do that you need to use this:

[tex]x^{2} -y^{2} =(x-y)(x+y)[/tex]

In order to do the substraction you need to put a minus to 20

[tex]x^{2}+20 \\=x^{2} - (-20) \\=(x-\sqrt{-20} )(x+\sqrt{-20} ) \\=(x - 2i\sqrt{5} )(x+2i\sqrt{5} ); \\\\\\\sqrt{-20} =\sqrt{(-1)(2^{2})(5)} =2i\sqrt{5}[/tex]

Answer Link

Otras preguntas

On Wednesday, Larry ran 3 miles at 7 mph. How long did it take him to run the 3 miles?
A control. during a experiment
Need help ASAP !!!!!
Megan walks 1100\,\text m1100m1100, start text, m, end text to the left in 330\,\text s330s330, start text, s, end text. What was her average speed in \dfrac{\t
______________was the reference for Muslims in relation to their religion.​
Given f(x) = x^3 + kx + 2, and x + 1 is a factor of f(x), then what is the value of k?
Can you help me with question number 10, please?
Write a letter to your sister who has just gain admission to your former school giving her information about the school and advising her on high how to behave w
HELPPPPP MEEEEEE, I WILL MAKE BRAINLYLST IF U GET IT RIGHT AND RESPOND QUICK
Find the least number which when divided by 24, 28, and 35 leave a reminder 3 in each case.a) 840b) 843c) 740d) 743​