Question

X square - 5 x minus 1 is equal to zero then the value of x square + 1 divided by x square is

Answer 1

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 2

Answer:

Thanx for 13 points.............