if x-1/x=6,find the value of x*x+1/x*x?

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if x-1/x=6,find the value of xx+1/xx?

2007-10-06 06:59:48 · 3 answers · asked by manu b 1 in Science & Mathematics ➔ Mathematics

3 answers

x-1/x=6
Square both sides,
x^2+1/x^2 - 2 = 36
=> x^2+1/x^2 = 38

2007-10-06 07:05:12 · answer #1 · answered by sahsjing 7 · 0⤊ 0⤋

x- 1/x = 6 Square both sides

(x - 1/x)^2 = 6^2
(x - 1/x)(x - 1/x) = 36 use FOIL
x^2 + 1/x^2 - 2(x/x) = 36 but x/x = 1 therefore
x^2 + 1/x^2 - 2 = 36
x^2 + 1/x^2 = 38

2007-10-06 14:11:44 · answer #2 · answered by lenpol7 7 · 0⤊ 0⤋

x-1/x=6
(x-1/x)(x-1/x)=x^2-2+1/x^2=36
x^2+1/x^2=36+2
X^2+1/x^2=38

2007-10-06 14:07:07 · answer #3 · answered by "Steve Jobs" 3 · 0⤊ 0⤋