a+1/a=1 then the value of a^3 is?
Given the equation ( a + \frac{1}{a} = 1 ), what is the value of ( a^3 )?
3 Answers
a + 1/a = 1
a^2 + 1 = a
a^3 + a = a^2
a^3 + a^2 + 1 = a^2
a^3 = -1
Or if you solve the quadratic, a = 1/2 +/- sqrt(3)/2 i
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