Question

Use laws to form the equation
u*8 +1/u = 6

Answer 1

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)

• (2u-1) (4u-1) = 0

Either u = 1/2

Either u = 1/2Or, u = 1/4