wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If 3x+5y=11 and xy=2, find the value of 9x2+25y2

Open in App
Solution

3x+5y=11; xy=2Squaring on both sides,(3x+5y)2=(11)2 (3x)2+(5y)2+2×3x×5y=121 9x2+25y2+30xy=121 9x2+25y2+30×2=121 ( xy=2) 9x2+25y2+60=121 9x2+25y2=12160=61 9x2+25y2=61


flag
Suggest Corrections
thumbs-up
44
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Algebraic Identities
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon