Question

if the difference between a number and its reciprocal is 24\5 find the number. its answer is 47.6 show the step by step below​

Answer 1

number is either 5 or -1/5

let required number is x .

a/c to question,

number - reciprocal of number = 24/5

⇒x - 1/x = 24/5

⇒x² - 1 = 24x/5

⇒5x² - 5 = 24x

⇒5x² - 24x - 5 = 0

⇒5x² - 25x + x - 5 = 0

⇒5x(x - 5) +1(x - 5) = 0

⇒(5x + 1)(x - 5) = 0

⇒x =5, -1/5

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Answer 2

Step-by-step explanation:

if the difference between a number and its reciprocal is 24\5 find the number. its answer is 47.6 show the step by step below