How do i solve for a in this equation?

1-a^{7}= 0.5(1-a^{20})

Thanks.

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- Mar 17th 2013, 03:59 AMrettiuqNeed help solving this equation
How do i solve for a in this equation?

1-a^{7}= 0.5(1-a^{20})

Thanks. - Mar 17th 2013, 04:24 AMShakarriRe: Need help solving this equation
Putting it into standard form a

^{20}-2a^{7}+1=0

By observation a=1 is one solution, you could long divide a-1 into the equation and solve your new equation but that would be extremely tedious and probably not expected of you. Have you learnt Newton's method - Wikipedia, the free encyclopedia for solving equations?