My Math Forum please solve this simple equation, thx

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 June 13th, 2012, 04:33 AM #1 Newbie   Joined: Jun 2012 Posts: 3 Thanks: 0 please solve this simple equation, thx The equation is 1000 = 272/ (1+i)^0.25 + 272/(1+i)^0.5 + 544/(1+ i)^1 find the value of i. The result is i = 0,13185 why wondering how the result came. can you please let me know the each step taken for calcuation. Thanks , kiran
 June 13th, 2012, 09:04 AM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs Re: please solve this simple equation, thx We are given: $1000=\frac{272}{(1+i)^{\small{\frac{1}{4}}}}+\frac {272}{(1+i)^{\small{\frac{1}{2}}}}+\frac{544}{1+i}$ Multiply through by $\frac{1+i}{8}$ and rearrange to obtain: $125(1+i)-34(1+i)^{\small{\frac{3}{4}}}-34(1+i)^{\small{\frac{1}{2}}}-68=0$ Let $u^4=1+i$: $125u^4-34u^3-34u^2-68=0$ Use a numerical method to determine one of the real roots is: $u\approx1.0314488454215854323$ $1+i=u^4\approx1.1318549545275935$ $i\approx0.1318549545275935$

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