Explanation:
Given equation can be written as:
- 8u +1/u = 6
- We all are familiar with LCM,taking LCM on both:
- 8u/1 +1/u = 6
Just Multiply value on denominator of 2nd no. with the first number
- (8u² +1)/u = 6
- 8u² +1 = 6u[Multiply both side by u]
- 8u² -6u +1 = 0 [Take term from RHS to LHS]
- eqn is in form of ax² +bx +c = 0
- Using mid term,
- 8u² -4u -2u +1 = 0[ Since -4*-2 = 8, and 8*1 = 8, This matches!]
- 4u(2u -1) -1(2u-1) = 0
Taking common,(2u-1)
Either u = 1/2
Either u = 1/2Or, u = 1/4