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CBSE Class 10 Answered

the sum of squares of two no's is 117. the square of smaller no. is four times the square of the bigger no. Find the no's.
Asked by haritsourabhharit | 08 Oct, 2010, 03:53: PM
answered-by-expert Expert Answer
let the numbers be x and y  and x<y
ATQ,
x2+y2=117...(i)
and
x2=4y..(ii)
substituting from (ii) into (i) we get,
y2+4y=117
y2+4y-117=0
(y-9)(y+13)=0
y=9, y=-13
y=9,so x=6
y=-13 can't be accepted as eqn (ii) doesn't get satisfied with it.
So the numbers are
x=6, y=9
Answered by | 08 Oct, 2010, 09:46: PM
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