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Solve the Following Equation (Posted on 2024-10-27)

Solve the following equation:

(x+1)(x+2)(x+3)(x+4)
--------------------- = 1
(x-1)(x-2)(x-3)(x-4)

No Solution Yet Submitted by K Sengupta

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Solution

Comment 1 of 1

D1 solution

Consider the functions

f(x)=(x+1)(x+2)(x+3)(x+4)

g(x)=(x-1)(x-2)(x-3)(x-4)

f is a W shape symmetrical to x=-2.5

g is a congruent W shape symmetrical to x=2.5

Their graphs will both cross the y-axis at (0,24) but nowhere else.

Solution x=0

Posted by Jer on 2024-10-27 11:07:58

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