I am trying to solve recurring deposite equation but answer is another equation,please help

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Following is the problem I am trying to solve


x = var('x')
solve(10000*(1+(0.0825/4))^(x*4)==400000,x)

but instead of value of x I am getting


[1633^x == I*40^(1/4)*1600^x, 1633^x == -40^(1/4)*1600^x, 1633^x == -I*40^(1/4)*1600^x, 1633^x == 40^(1/4)*1600^x]

Please advise how to solve this!

1 Answer

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What kind of solution do you need (symbolic, numerical, real, complex, ...) ?

If you want a numerical approximation of the unique real solution, you ca try:

sage: f(x) = 10000*(1+(0.0825/4))^(x*4) - 400000
sage: f.find_root(40,50)
45.17323135481834

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Asked: 11 years ago

Seen: 385 times

Last updated: Jun 01 '13