If x minus one by x is equal to 5 then the value of x cube minus one by x cube is
Answers
Step-by-step explanation:
Given:
x minus one by x is equal to 5
To find:
Find the value of x cube minus one by x cube
Solution:
From given, we have,
x minus one by x is equal to 5
x - 1/x = 5
we use the formula,
(a - b)³ = a³ - b³ - 3ab (a - b)
(x - 1/x)³ = x³ - 1/x³ - 3 × x × 1/x (x - 1/x)
(x - 1/x)³ = x³ - 1/x³ - 3 (x - 1/x)
using the given value, we have,
5³ = x³ - 1/x³ - 3 (5)
125 = x³ - 1/x³ - 15
125 + 15 = x³ - 1/x³
∴ x³ - 1/x³ = 140
Therefore, the value of x cube minus one by x cube is 140
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Answer:
Given:
x minus one by x is equal to 5
To find:
Find the value of x cube minus one by x cube
Solution:
From given, we have,
x minus one by x is equal to 5
x - 1/x = 5
we use the formula,
(a - b)³ = a³ - b³ - 3ab (a - b)
(x - 1/x)³ = x³ - 1/x³ - 3 × x × 1/x (x - 1/x)
(x - 1/x)³ = x³ - 1/x³ - 3 (x - 1/x)
using the given value, we have,
5³ = x³ - 1/x³ - 3 (5)
125 = x³ - 1/x³ - 15
125 + 15 = x³ - 1/x³
∴ x³ - 1/x³ = 140