what number multiplies to 12 but adds to 16

• : An answer would be 2 
  2+2+2+2+2+2=12
  2*2*2*2=16
  
  Another answer would be 4.
  4+4+4=12
  4*4=16
• apologiabiology:
  

  x+y=16
  

  xy=12
  

  
  

  x+y=16
  

  subtract x from both side
  

  y=16-x
  

  subsitute for y
  

  x(16-x)=12
  

  16x-x^2=12
  

  subtract add x^2 to both sides
  

  16x=12+x^2
  

  subtract 16x from both sides
  

  x^2-16x+12=0
  

  try and factor
  

  can't
  

  use quadratic equation which is
  

  x=[tex] \frac{-b+/- \sqrt{b^{2}-4ac} }{2a} [/tex] when you have
  ax^2+bx+c=0
  x^2-16x+12=0
  a=1
  b=-16
  c=12
  subsitute
  x=[tex] \frac{-(-16)+/- \sqrt{(-16)^{2}-4(1)(12)} }{2(1)} [/tex]
  x=[tex] \frac{16+/- \sqrt{256-48} }{2} [/tex]
  x= [tex] \frac{16+/- \sqrt{208} }{2} [/tex]
  x=[tex] \frac{16+/- 4\sqrt{13} }{2} [/tex]
  x=[tex] 8+/- 2\sqrt{13}[/tex]
  x=[tex] 8- 2\sqrt{13}[/tex] or [tex] 8+ 2\sqrt{13}[/tex]
  the answer is
  the numbers are [tex] 8- 2\sqrt{13}[/tex] and [tex] 8+ 2\sqrt{13}[/tex] or
   aprox 0.788897 and 15.2111