Question

Solve the equation on x(x-1) = 1 by completing square method.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

x (x-1) = 1

x²-x   = 1

adding square of half the coefficient of x,

x²-x+(1/2)² = 1+(1/2)²

  (x-1/2)²   = 1+1/4

               = 4+1/4

               = 5/4

    x-1/2    = ±√(5/4)

               = ±√5/2

    x = +√5/2+1/2         x = -√5/2+1/2

       = √5+1 /2               = 1-√5 /2