a/3+3/a=-1 find a⁵-26a²+3a+14
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Step-by-step explanation:
let a/3 = x
so 3/a = 1/x
a/3+3/a=-1
x + 1/x = -1
x² + 1 = -x
x² + x + 1 = 0
x³- 1³ = (x- 1) (x²+ x+ 1)
x³- 1 = (x- 1) × 0
x³- 1 = 0
x³= 1
a³/27 = 1
a³ = 27
a = 3
put the value of a in a⁵-26a²+3a+14
and get your answer.
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