ADVANCED EXERCISES

(1) Solve the following quadratic equations by factoring.

 (a) x2 - 5kx + 4k2 = 0

 (b) x2 - 10x + 25 - 49t2y2 = 0; solve for x

 (a) x2 - 5kx + 4k2 = 0 
  (x - 4k)(x - k) = 0
  x = 4k or x = k

 (b) x2 - 10x + 25 - 49t2y2 = 0
  (x - 5)2 - 49t2y2 = 0
  (x - 5 + 7ty)(x - 5 - 7ty) = 0
  x = 5 - 7ty or x = 5 + 7ty