From a group of 22x black bees , square root of half of the group went to a tree. Again eight-ninth of the bees went to the same tree. The remaining two got caught up in a fragrant lotus. How many bees were there in total?
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Answer:
72 bees were in total
Step-by-step explanation:
group of 22x black bees
Square root of half = √11x
8/9 of 22x = 176x/9
remained two
22x = √11x + 176x/9 + 2
198x = 9√11x + 176x + 18
=> 22x - 18 = 9√11x
Squaring both sides
=> 484x² + 324 - 792x = 891x
=> 484x² - 1683x + 324 = 0
=>484x² - 99x - 1584x + 324 = 0
=> 11x(44x - 9) - 36(44x -9) = 0
=> (11x - 36)(44x - 9) = 0
x = 36/11 x = 9/44
22x = 22*36/11 = 72
22x = 22 * 9/44 = 4.5 ( not possible)
72 bees were in total
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