Question

Sum of a number and its inverse
is 25÷12

what s the number​

Answer 1

Question:-

Sum of a number and it's inverse is 25/12. Find the number.

Solution:-

Let the number be x.

Therefore, according to the given conditions,

$\sf x + \frac{1}{x} = \frac{25}{12}$

$\sf \implies \frac{ {x}^{2} + 1 }{x} = \frac{25}{12}$

$\sf \implies 12 {x}^{2} + 12 = 25x$

$\sf \implies 12 {x}^{2} - 25x + 12 = 0$

$\sf \implies 12 {x}^{2} - 9x - 16x + 12 = 0$

$\sf \implies 3x(4x - 3) - 4(4x - 3) = 0$

$\sf \implies (3x- 4)(4x - 3) = 0$

Therefore, either (3x-4)=0 or (4x-3)=0

So,

$\sf x = \frac{4}{3} \: or \: \frac{3}{4}$

Hence, the number is 4/3 or 3/4.

Answer:-

• The number is 4/3 or 3/4.

Answer 2

Answer:

hope u get ur answer by the above pic