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

Find the minimum or maximum value of the function g(x) = -2x2 - 4. Then state the domain and range of the function.
"What is the rate of change between the interval x = π and x = three pi over two? "
significado de tatadra
"The points plotted below are on the graph of a polynomial. In what range of x-values must the polynomial have a root? Check all that apply. A. 2.5 to 3.5
which is the primary consumer in this food chain?
b - 12 = 24 what is b
False accusations against which organization led to the demise of Senator Joseph McCarthy?
Which responsibilities were assigned to the federal government under the Articles of Confederation? a.taxing goods and services b.maintaining a militia c.drawi
where is the blue point on the number line
What are the responsibilities of the MPC