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Three eights opted for activity x, sixteen for activity y and root of total for z.
y+z=x as mentioned.
let total students be x.
3n/8=16+root n
3n/8-16=root n [squaring both sides]
/64+256-2*3n/8*16=n
9n2/64+256-12n=n
9n2/64-13n +256=0 [multiplying both sides by 64]
9n2-832n+16384=0
n={832 plus minus root (692224-589824)}/18
n=(832 plus minus 320)/18
n=(416 plus minus 160)/9
it is either 576/9 or 256/9
256/9 is not in whole numbers, hence it cant be no. children.
576/9 is 64, a whole number, hence it is the number of children in this class.
(Thats a big number for the number of children in a class, but I think the answer is still correct.)
hope it was helpful
y+z=x as mentioned.
let total students be x.
3n/8=16+root n
3n/8-16=root n [squaring both sides]
/64+256-2*3n/8*16=n
9n2/64+256-12n=n
9n2/64-13n +256=0 [multiplying both sides by 64]
9n2-832n+16384=0
n={832 plus minus root (692224-589824)}/18
n=(832 plus minus 320)/18
n=(416 plus minus 160)/9
it is either 576/9 or 256/9
256/9 is not in whole numbers, hence it cant be no. children.
576/9 is 64, a whole number, hence it is the number of children in this class.
(Thats a big number for the number of children in a class, but I think the answer is still correct.)
hope it was helpful
awesomeraghav:
plus minus means that symbol which has minus just below plus sign
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