CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A positive number is divided into two parts such that the sum of the squares of the two parts is 20. the square of the larger part is 8 times the smaller part. Taking x as the smaller part of the two parts, find the number.

Open in App
Solution

x is the smaller part. Let y be the bigger part.
y2+x2=20
y2=8x [so, x>0 …………(1)]
x2+8x=20
x=2;x=10
So, x=2 (from (1))
y2=8x=16
y=4 [x+y is positive]
So, number=x+y=2+4=6.

1213194_1326409_ans_7fa4274742e04d61b01f2c02558ece67.jpg

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Cel & Mia at Wonderla
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon