0

Guest

Courses New

the number of number pairs (x,y) which will satisfy the equation x 2 -xy+y 2 =4(x+y-4)

the number of number pairs (x,y) which will satisfy the equation x2-xy+y2=4(x+y-4)

Grade:11

1 Answers

Arun
25750 Points
4 years ago
 

x2-xy+y2=4(x+y-4)

  x2-x(y+4)+y2 -4y +16=0

if it has real solution then D≥0

so (y+4)2 -4( y2 -4y +16)≥0

 or (y-4)2  ≤0

 only possible when y=4

so for y=4 only one value of x=4 possible

so only one pair (4,4) is the solution

 

Hope it helps

 

Regards

Arun (askIITians forum expert)

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More