einsteinholmes
einsteinholmes einsteinholmes
  • 01-09-2020
  • Mathematics
contestada

if x+y=3, x²+y²=5 then find the value of xy

Respuesta :

ujalakhan18
ujalakhan18 ujalakhan18
  • 01-09-2020

Answer:

[tex]\huge\boxed{xy = 2}[/tex]

Step-by-step explanation:

=> [tex]\sf (x+y)^2 = x^2 + y^2 + 2xy[/tex]

Given that [tex]\sf x + y = 3 , x^2 + y^2 = 5[/tex]

=> [tex]\sf (3)^2 = 5 + 2xy[/tex]

=> [tex]9 = 5 + 2xy[/tex]

=> [tex]9-5 = 2xy[/tex]

=> [tex]4 = 2xy[/tex]

Dividing both sides by 2

=> 2 = xy

OR

=> xy = 2

Answer Link

Otras preguntas

please help me:( I’m not very good with parabolas
Which of Lord Mahavir’s disciples is the last person to attain keval jnana in this age? A. Parsvanath B. Vardhaman C. Tirthankar D. Jambu
in animal farm Based on the animal's statements, what theme or message do you think Orwell is trying to convey to his readers?
Who was the first human? I need at least 2 sentences. Will mark brainleist
Fine the midpoint of the line segment with the endpoints A and B. A(8,10); B(6,4)
help me with this please (sorry for the bad picture) ​
HELPPPPPPP 1.The expression p−0.15p can be used to calculate the final cost of an item that has a price of p and is discounted 15%. What is the final cost of an
HELP You go out to dinner and the bill comes to $ 35.56. How much should you tip if you want the tip to be 17.0 % of the bill? Express the dollar amount to the
Which historical factor did NOT influence the emergence of the Harlem Renaissance? es A) The increasing availability of education for African-Americans after th
Help me check my answers for my homework please