Question

solve X +1byX= 25 ×1 by 25 ​

Answer 1

Answer:

X*2-x+1

Step-by-step explanation:

L.H.S:

= X+1/x

=X*2+1/X

R. H. S:

=25*1/25

=1

By equating both L. H. S and R. H. S

X*2+1/x=1

By cross multiplication

X*2+1=x

So,

X*2-X+1

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

Here,

x + 1/x = 25(1/25)

x + 1/x = 25 + 1/25

x² + 1/x = (25 + 1/25)

x² + 1 = (25 + 1/25)x

x² - (25 + 1/25)x + 1 = 0

Now, factorise it,

x² - 25x - 1/25x + 25 × 1/25 = 0

(x² - 25x) - (x/25 - 25 × 1/25) = 0

x(x - 25) - 1/25(x - 25) = 0

(x - 25) (x - 1/25) = 0

x - 25 = 0

x = 25

Or,

x - 1/25 = 0

⇒ x = 1/25

Therefore,

x = 25, 1/25