If x^2+1/x^2=47 then find the value of x^3+1/x^3
Answers
Answered by
5
x^2+1/x^2=47
(x+1/x)^2_2x×1/x=47
(x+1/x)^2=47+2
(x+1/x)^2=49
x+1/x=root49=7
x^3+1/x^3=(x+1/x)^3-3x×1/x(x+1/x)
=7^3-3×7
=343-21=322
Mark as brainliest
(x+1/x)^2_2x×1/x=47
(x+1/x)^2=47+2
(x+1/x)^2=49
x+1/x=root49=7
x^3+1/x^3=(x+1/x)^3-3x×1/x(x+1/x)
=7^3-3×7
=343-21=322
Mark as brainliest
Similar questions