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If a, b, and c are different numbers and if a^3 + 3a + 14 = 0, b^3 + 3b + 14 = 0, and c^3 + 3c + 14 = 0, find the value of 1/a + 1/b + 1/c.

 Dec 7, 2019
 #1
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By inspection:

 

a = -2,  b = -2,  c = -2

 

1/-2 +1/-2 + 1/-2 = - 3 / 2

 Dec 7, 2019

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