Out of a number of Saras …
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Out of a number of Saras birds ,one fourth of the number are moving in lotus plants ,one ninth coupled alongwith one fourth as well as seven times the square root of the number move on a hill . 56 birds remain in vakula trees .what is the total number of birds?
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Naveen Sharma 7 years, 1 month ago
Ans. Let the number of birds be x2 Number of birds moving about lotus plant ={tex}x^2\over 4{/tex}
Number of birds coupled along = {tex}{x^2\over 9} +{ x^2\over 4}{/tex}
Number of birds moves on hill ={tex}7\sqrt {x^2} = 7x {/tex}
Number of birds remaining on trees = 56 Now,
{tex}{x^2\over 4} + {x^2\over 4} +{x^2\over 9} + 7x +56 = x^2{/tex}
=> {tex}=> {11x^2\over 18} + 7x + 56 = x^2{/tex}
{tex}=> 7x + 56 = {7x^2\over 18}{/tex}
{tex}=> x + 8 ={x^2\over 18}{/tex}
=> x2 -18x -144 = 0
=> x2 - 24x +6x -144 = 0
=> x(x-24) +6(x-24) = 0
=> (x-24)(x+6) = 0
x = 24 or -6
so Number of birds = 242 = 576
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