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1. Find all real numbers a that satisfy \frac{1}{64a^3 + 7} - 7 = 0.
2. Find all values of a that satsify the equation \frac{a}{3} + 1 = \frac{a + 3}{a} + 1.

 May 14, 2023
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(1)
a = (-3/7)^(1/3)/2^(2/3)
a = -(3/7)^(1/3)/2^(2/3)
a = -((-1)^(2/3) (3/7)^(1/3))/2^(2/3)

 


(2)Results
a = -3/2 (sqrt(5) - 1)
a = 3/2 (1 + sqrt(5))

 May 15, 2023

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