ONE FOURTH OF A HERD OF CAMELS WAS SEEN INT THE FOREST.TWICE THE SQUARE ROOT OF HERD HAD GONE TO MOUNTAIN AND 15CAMELS WERE SEEN ON THE RIVER.FIND TOTAL NO OF CAMELS

Asked by Shambhu Nath Tiwary | 15th Nov, 2015, 10:41: PM

Expert Answer:

Let space straight x space be space the space number space of space camels space in space the space heard space of space camels.  One space fouth space of space space heard space of space camels space were space seen space in space thr space forest space equals straight x over 4 Twice space the space square space root space of space herd space had space gone space to space mountain equals 2 square root of straight x 15 space camels space were space seen space on space the space river space equals space 15   Total space number space of space camels space in space the space herd space equals space straight x therefore straight x over 4 plus 2 square root of straight x plus 15 equals straight x straight x plus 8 square root of straight x plus 60 equals 4 straight x 8 square root of straight x equals 3 straight x minus 60 64 straight x equals 9 straight x squared minus 360 straight x plus 3600 9 straight x squared minus 424 straight x plus 3600 equals 0  roots equals straight x space equals fraction numerator negative open parentheses negative 424 close parentheses plus-or-minus square root of open parentheses negative 424 close parentheses squared minus 4 open parentheses 9 close parentheses open parentheses 3600 close parentheses end root over denominator 2 open parentheses 9 close parentheses end fraction straight x equals fraction numerator 424 plus-or-minus square root of 50176 over denominator 18 end fraction straight x equals fraction numerator 424 plus-or-minus 224 over denominator 18 end fraction straight x equals 36 space or space 100 over 9  But space number space of space camels space can space not space be space in space fraction. Hence space number space of space camels space in space herd space is space 36.

Answered by Vijaykumar Wani | 16th Nov, 2015, 11:11: AM