If the two expressions x2 – 11x + A and x2 – 14x + 2A have a common factor, find A.

• let common root is k
  so from eq1: k+g=-11....(1)
  n kg=A(g is 2nd root)..(2)
  now from eq2: k+s=-14..(3)
  n ks=2A..(4)
  from (2) n (4) we get s=2g..(5)
  put d value in (1)..dan solve wt (3)
  u get k=-8 n g=-3.....so from (2)A=(-8)(-3)=24
  
  
• 11 years agoHelpfull: Yes(11) No(1)
• ans is 24. solve using property that the sum of two factors is -b/a.
  and multiplication of the same is c/a. where the standard eqution is ax^2+bx+c .
• 11 years agoHelpfull: Yes(5) No(0)
• if you will solve this with typical method it will take too much time.
  so subtract both equation,
  3X-A=0
  A=3X.
  ANS WILL BE IN MULTIPLES OF 3, 24 IS THE ONLY CORRECT OPTION
  
• 8 years agoHelpfull: Yes(4) No(0)
• (c1a2-c2a1)^2=(b1c2-b2c1)(a1b2-a2b1)
  get tha ANs is 24
• 11 years agoHelpfull: Yes(2) No(2)
• can v get a proper solution??
• 11 years agoHelpfull: Yes(2) No(2)