text: # Math
  
  posted by .
  
  For what values of k will the functon f(x)=kx^2-4x+k have no zeros
  
  Determine the values of k for which the function f(x)=4x^2-3x+2kx+1 have 2 zeros
  
  • Math -
  
  if b^2 - 4ac < 0 ---> no real zeros
  if b^2 - 4ac = 0 ---> one real zero
  ifb^2 - 4ac > 0 ---> two real zeros
  
  if will do the 2nd question.
  a=4, b= 2k-3 , c = 1
  
  b^2 - 4ac
  = (2k-3)^2 - 4(4)(1)
  = 4k^2 - 12k + 9 - 16
  = 4k^2 - 12k - 7
  = (k + 1)(4k - 7)
  
  (k+1)(4k-7) > 0 for 2 real roots
  k < -1 OR k > 7/4