X square - 5 x minus 1 is equal to zero then the value of x square + 1 divided by x square is
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value of x² + 1/x² = 23
it is given that, x² - 5x + 1 = 0
we have to find value of x² + 1/x²
x² - 5x + 1 = 0
dividing by x both sides we get,
(x² - 5x + 1)/x = 0/x
⇒x - 5 + 1/x = 0
⇒x + 1/x = 5 ...........(1)
x² + 1/x² = (x + 1/x)² - 2x.(1/x)
= (x + 1/x)² - 2
= 5² - 2 [ from equation (1), ]
= 25 - 2 = 23
hence, x² + 1/x² = 23
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Answer:
Thanx for 13 points.............
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