x square + 1/x square= 7, find the value of x + 1/x
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Answered by
150
x² + 1/x² = 7
[ use, formula , a² +b² = (a + b)² -2ab ]
(x + 1/x)² -2.x.1/x = 7
(x + 1/x)² -2 = 7
(x + 1/x )² = 9
take square root both sides ,.
(x + 1/x) = 3
[ use, formula , a² +b² = (a + b)² -2ab ]
(x + 1/x)² -2.x.1/x = 7
(x + 1/x)² -2 = 7
(x + 1/x )² = 9
take square root both sides ,.
(x + 1/x) = 3
Answered by
42
x^2 + 1/x^2 +2 = 7 + 2
implies (x+ 1/x)^2 = 9
implies x + 1/x = (+-) 3.
implies (x+ 1/x)^2 = 9
implies x + 1/x = (+-) 3.
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