if x plus one upon X equals to 5 then find the value of x cube + one upon x cube
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99
Answer:
x³ + 1/x³ = 110
Step-by-step explanation:
if x plus one upon X equals to 5 then find the value of x cube + one upon x cube
x + 1/x = 5
to find x³ + 1/x³
using identity (a + b)³ = a³ + b³ + 3ab(a + b)
=> (x + 1/x)³ = x³ + 1/x³ + 3x(1/x)(x + 1/x)
=> (x + 1/x)³ = x³ + 1/x³ + 3(x + 1/x)
putting x + 1/x = 5
=> 5³ = x³ + 1/x³ + 3*5
=> 125 = x³ + 1/x³ + 15
=> x³ + 1/x³ = 110
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