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x-17-4-and-y-14-16-18-20-then-which-is-greater-




Question Number 96 by sudhanshur last updated on 25/Jan/15
x=17^4  and y=14×16×18×20 then  which is greater?
$${x}=\mathrm{17}^{\mathrm{4}} \:\mathrm{and}\:{y}=\mathrm{14}×\mathrm{16}×\mathrm{18}×\mathrm{20}\:\mathrm{then} \\ $$$$\mathrm{which}\:\mathrm{is}\:\mathrm{greater}? \\ $$
Answered by anoopsingh7374@gmail.com last updated on 27/Nov/14
$$ \\ $$
Commented by 123456 last updated on 13/Dec/14
pu  dim
$${pu} \\ $$$${dim} \\ $$
Answered by ssahoo last updated on 28/Nov/14
x=17^4   y=(17−3)(17−1)(17+1)(17+3)  =(17^2 −9)(17^2 −1)  so x>y
$${x}=\mathrm{17}^{\mathrm{4}} \\ $$$${y}=\left(\mathrm{17}−\mathrm{3}\right)\left(\mathrm{17}−\mathrm{1}\right)\left(\mathrm{17}+\mathrm{1}\right)\left(\mathrm{17}+\mathrm{3}\right) \\ $$$$=\left(\mathrm{17}^{\mathrm{2}} −\mathrm{9}\right)\left(\mathrm{17}^{\mathrm{2}} −\mathrm{1}\right) \\ $$$${so}\:{x}>{y} \\ $$