bettafishlife82 bettafishlife82

08-07-2020
Mathematics

contestada

If xy = 6 and x^2y+xy^2 +x+y=63, find x^2+y^2.

Respuesta :

tumber1235 tumber1235

08-07-2020

Answer:

69

Step-by-step explanation:

Given: xy=6 then y = 6/x and x = 6/y so

x^2y + xy^2 + x + y =63 =>

6x + 6y + x + y =63 =>

x + y = 9 => (x+y)^2 = 81 => x^2 + y^2 = 81 -2xy = 81-12 =69

Answer Link

Otras preguntas

In triangle ABC segment DE is parallel to the side AC. (The endpoints of segment DE lie on the sides AB and BC respectively). Find DE, if AC=20cm, AB=1

Round the number to the nearest thousand 728,639

this has nun do with school but i need help choosing a good pool size which is better for a pool size 18 x 48 or 12 x 30

What information do you need before you can decide which type of buisness might be the most successful

ABCDEF is a regular hexagon. AJFGH is a regular pentagon

Dana, a 24-year-old patient who is 5 weeks pregnant with her first child, is visiting the office for a routine checkup. She says that birth defects are common i

how many liters of water vapor are in 36.21 g?

What is the the gradient of straight lines of Y=4-5x

What type of function is y+1=5x

The price of an airline ticket was $320 amd it is now 420$ what is the percent increase the price of the ticket