pls answer this question
Attachments:
Answers
Answered by
0
Answer:
Step-by-step explanation:
Answers
We need to find
x^3 + 1/x^3
We are given,
x + 1/x = 3
We know that,
(a+b)^3 = a^3 + b^3 + 3ab(a+b) }
Lets take the cube of both sides of the given equation,
=> (x + 1/x)^3 = 3^3
=> x^3 + 1/x^3 + {3 . x . 1/x (x + 1/x)} = 27
=> x^3 + 1/x^3 + 3(x + 1/x) = 27
Since x + 1/x = 3
=> x^3 + 1/x^3 + 3×3 = 27
=> x^3 + 1/x^3 = 27-9
=> x^3 + 1/x^3 = 18
Hope it helps u
Answered by
0
Answer:
hope it will help you
Step-by-step explanation:
x+1/x = 3
Cubing on both sides
(x+1/x)³ = 3³
x³+1/x³+3.x.1/x (x+x/1) = 27
x³+1/x³+3(3) = 27
x³+1/x³+9 = 27
x³+1/x³ = 27-9
x³+1/x³ = 18
Similar questions
Science,
5 months ago
Science,
5 months ago
Geography,
5 months ago
Math,
10 months ago
Social Sciences,
1 year ago