Question

The sum of a non zero number and thrice its reciprocal is 52/7.find the number

Answer 1

Answer :

Let, the number be x

Then,

x + 3/x = 52/7

⇒ x² + 3 = 52x/7

⇒ 7x² + 21 = 52x

⇒ 7x² - 52x + 21 = 0

⇒ 7x² - 49x - 3x + 21 = 0

⇒ 7x (x - 7) - 3 (x - 7) = 0

⇒ (x - 7) (7x - 3) = 0

∴ The required number be 7 or 3/7.

#MarkAsBrainliest

Answer 2

Answer:

The required number is   $\frac{3}{7}$ or 7

Step-by-step explanation:

Given,

The sum of a non zero number and thrice its reciprocal is $\frac{52}{7}$

Solution:

Let 'x' be the number

The reciprocal of the number is $\frac{1}{x}$

Then, from the given condition,

x+ 3 ×$\frac{1}{x}$ =    $\frac{52}{7}$

$\frac{x^2 +3}{x} = \frac{52}{7}$

7(x² +3)  52x

7x² + 21 = 52x

7x² -52x + 21 = 0

7x² -49x - 3x + 21 = 0

7x(x-7) -3(x-7) = 0

(7x-3)(x-7) = 0

7x -3 = 0  or x =7

x = $\frac{3}{7}$,7

∴The required numbers is  $\frac{3}{7}$ or7

#SPJ2