What is the product of the irrational roots of
the equation (2x-1)(2x-3)(2x-5)(2x-7)=9?

• Let 2x - 4 = y
  => (y + 3) (y + 1) (y - 1) (y - 3) = 9
  => (y^2 - 1) (y^2 - 9) = 9
  => y^4 - 10y^2 + 9 = 9
  => y^2 (y^2 - 10) = 0
  => y = 0 or ± √(10)
  => 2x - 4 = ± √(10)
  => x = (1/2) [4 ± √(10)]
  => product of the irrational roots
  = (1/2)^2 * [4 + √(10)] [4 - √(10)]
  = (1/4) * 6
  = 3/2.
• 8 years agoHelpfull: Yes(3) No(3)
• x=2
  its results 9
  
• 9 years agoHelpfull: Yes(1) No(1)