if 5x*x+14*x+k=0 having two reciprocal roots find the value of k.

• Product of reciprocal roots =1
  Product of roots of quadratic eqn ax^2+bx+c = 0 is c/a.
  
  Hence k/5 =1
  k=5
• 13 years agoHelpfull: Yes(31) No(1)
• let the root be x,1/x
  product ofthe root=c/a
  x*1/x=k/5
  k=5
• 10 years agoHelpfull: Yes(1) No(0)
• say a be the root then other root is 1/a and ax1/a=k/15->k=15
• 10 years agoHelpfull: Yes(0) No(2)
• from standard form of quadratic equation,
  x*(1/x)=c/a= k/5
  1=k/5
  k=5
• 5 years agoHelpfull: Yes(0) No(0)