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CBSE Class 10 Answered

One-fourth of swan found in Lake while one fourth and one-ninth coupled as well as 7times of square root of total found in hill while 56 remaining found near tree .Find total no. Of bird?
Asked by Devkumar.dk554 | 06 Mar, 2019, 07:31: AM
answered-by-expert Expert Answer
Let x be the total number of birds
 
By converting the given distribution of birds at different locations, we get
 
begin mathsize 12px style x over 4 space plus space open parentheses x over 4 plus x over 9 plus 7 square root of x close parentheses space equals space x space minus space 56 B y space s i m p l i f y i n g space t h e space a b o v e space e x p r e s s i o n comma space space w e space g e t comma space space space 14 x space minus space 252 square root of x space minus space 2016 space equals space 0 B y space d i v i d i n g space t h e space a b o v e space e x p r e s s i o n space b y space 14 comma space space w e space g e t comma space space space x minus 18 square root of x space minus space 144 space equals space 0 a b o v e space e x p r e s s i o n space c a n space b e space w r i t t e n space a s space a space f u n c t i o n space o f space square root of x space end root space space i n space q u a d r a t i c space f o r m open parentheses square root of x close parentheses squared space minus space 18 square root of x space minus space 144 space equals space 0 B y space f a c t o r i sin g space L H S comma space space left parenthesis square root of x space minus 24 space right parenthesis space left parenthesis space square root of x space plus space 6 space right parenthesis space equals space 0 h e n c e space space square root of x space end root space equals space 24 space space space o r space space x space equals space 576 end style
Answered by Thiyagarajan K | 06 Mar, 2019, 09:56: AM

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