Math, asked by shubhangiDimri, 1 year ago

if x^2+1/x^2=62 then find the value of x^3+1/x^3

Answers

Answered by angelina67
2

Answer:

5

Step-by-step explanation:

x² + 1/x² = 14


(x + 1/x)² -2.x.1/x = 14


(x + 1/x )² -2 = 14


(x + 1/x )² = 16


take square root both sides


(x + 1/x) = 4


then,


x³ + 1/x³ = ( x + 1/x)³ - 3.x.1/x(x + 1/x)


= ( x +1/x)³ -3(x + 1/x)


= (4)³ -3(4)


= 64 - 12


= 5




shubhangiDimri: ??
angelina67: the answer
Sudhanshubaranwal: x^2+1/x^2=64 (not 14)
Answered by Sudhanshubaranwal
5
hey mate! correct ans is 488...
Hope it helps .
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shubhangiDimri: bt pls explain me
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shubhangiDimri: hindi
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shubhangiDimri: means full explaination of this qustion
Sudhanshubaranwal: bhai explanation pic me h n. usme jis line me dikkat h wo btao
shubhangiDimri: jab 8 tk aa gya ans.. then phir kya kiya
Sudhanshubaranwal: to fir us eqn ka whole cube kiya
shubhangiDimri: ohk ty
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