Question

if the differences between the number and its reciprocal 245. find the number​

Answer 1

Answer:

Let a number be x.

Its reciprocal is 1/x

x - 1/x = 24/5

(x2 - 1)/x = 24/5

5x2 – 5 - 24x = 0

⇒ 5x2 – 24x – 5 = 0

5x2 – 25x + x – 5 = 0

5x(x – 5) + 1 (x – 5) = 0

(5x + 1)(x – 5) = 0

x = -1/5, 5

∴ The number is -1/5 or 5.

Answer 2

Answer:

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