Math, asked by kitkrut250, 1 year ago

x=2+√3findx³+1\x³Rd book

Answers

Answered by abhi178
0
x = 2 + √3

1/x = 1/(2 + √3)

= (2-√3)/(2 + √3)(2 -√3)

=(2 -√3)/(2² -√3²)

=(2 -√3)

hence, x + 1/x = 2 +√3 + 2 -√3 = 4

x³ + 1/x³ = (x +1/x)³-3(x +1/x)

= (4)³ -3(4)

= 64 -12 = 52

hence, x³ +1/x³ = 52
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