Question

If difference between the number and it's recipoical is 24/5. Find the number.​

Answer 1

Step-by-step explanation:

$x - \frac{1}{x } = \frac{24}{5} \\ = \frac{ {x}^{2} - 1}{x} = \frac{24}{5} \\ = 5 {x}^{2} - 5 = 24x \\ = 5 {x}^{2} - 24x - 5 = 0 \\ = (5x + 1)(x - 1) = 0 \\ = (5x + 1) = 0 \\ = 5x = - 1 \\ = x = \frac{ - 1}{5 } \\ and \\ = (x - 1) = 0 \\ = x = 1$

PLEASE MARK AS A BRAINLIST

Answer 2

Step-by-step explanation:

$\huge{{ \pink{solve = > }}}$

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