Question

17. 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.

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Answer 1

Answer:

x²+y²=20....(I)

y²=8x²....(ii)

putting eq(ii) in (I)

x²+(8x²)=9x²=20

x²=20/9

x=√20/3= 2√5/3

(2√5/3)²+(y²)= 20/9+Y²=20

y²=20-20/9= 180-20/9=160/9

y=√160/9=4√10/3

Hence two numbers are 2√5/3 and 4√10/3