Question

If a equation x+(1/x) =13/6, find x

Answer 1

Answer:

(2x-3)(3x-2)

Step-by-step explanation:

x+1/x=13/6

take LCM

x^2+1/x=13/6

now take x on the right side of equal to

x^2+1=13x/6

now take 6 on left side of equal t0

6x^2+6=13x

take 13x on left

6x^2-13x+6

use middle term splitting

6x^2-9x-4x+6

make pair of any two

(6x^2-9x)-(4x-6)

take common from each

3x(2x-3)-2(2x-3)

(2x-3)(3x-2)