apoholiyadde
apoholiyadde apoholiyadde
  • 04-03-2021
  • Mathematics
contestada

if xsqured +y squred =16, xy=10 find the value of x+y using bionomial expansion

Respuesta :

Nayefx
Nayefx Nayefx
  • 12-03-2021

Answer:

x+y=6

Step-by-step explanation:

to understand this

you need to know about:

  • algebra
  • PEMDAS

tips and formulas:

  • x²+y²=(x+y)²-2xy

let's solve:

according to the question:

  • (x+y)²-2xy=16
  1. substitute the value of xy:(x+y)²-2.10=16
  2. simplify multiplication:(x+y)²-20=16
  3. add 20 to both sides:(x+y)²-20+20=16+20=>(x+y)²=36
  4. [tex] \sf squre \: root \: both \: sides : \\ \sqrt{ (x + y {)}^{2}} = \sqrt{36} \\ \therefore x + y = 6[/tex]

Answer Link

Otras preguntas

In a cookie jar, 1/4 of the cookies are chocolate chip, and 1/2 of the rest are peanut butter. What fraction of all the cookies is peanut butter?
What is the lesser number?
Match these vocabulary words with their definitions. 1. the excess of what is owed over available funds electorate 2. those qualified to vote in an election def
Which answer choice shows 28.125 written in expanded form? A. 20 + 8 + 0.1 + 0.02 + 0.05 B. 20 + 8 + 0.1 + 0.02 + 0.005 C. 20 + 8 + 0.1 + 0.2 + 0.5 D. 2 + 8
PLZ HELP PLZ HELP PLZ HELL WILL BE MARKED BRAINLIEST NO LINKS
I need help for bi dont get it
Struggling with Foreign Language? NO LINKS!!
The center of a circle is located at (2, -1). A point on the circle is located at (-3,-1). What is the approximate circumference of the circle? A16 units B31 un
h(x) = 2.25 x ; 3 CAN YOU HELP ME PLZ!!!
Why is oxygen needed by every cell in the body?​