A calculus problem by Vraj Mistry

Calculus Level 4

x 9 + 3 x 7 + 5 x 5 + 7 x 3 + 9 x = 11 x^{9}+3x^{7}+5x^{5}+7x^{3}+9x=11

Let α \alpha be the real root of the above equation.

Y = α e π Y=\alpha e\sqrt{\pi}

F i n d ⌈ Y 1 0 4 ⌉ \huge Find \lceil Y10^{4} \rceil

NOTE:- Here e represents the euler number


The answer is 35598.

Vraj Mistry by Vraj Mistry , 21, India

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1 solution

Graphing the expression and y=11, we get intersection at 3.559781332 though TI-83 plus. Than putting values given for Y we get the required quantity as
35598.

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