My name is Brian R. I am in secondary. I need to find the root of the quadratic equation of a square. The problem is x² + 22x + 112 = 0 can you help?

thank you,
Brian

If you can factor x² + 22x + 112 then finding a root is easy. To factor x² + 22x + 112 as (x + a)(x + b) you need to find numbers a and b so that a + b = 22 and a * b = 112 (* is multiplication).

I would start by writing all the factors of 112, that is

• 112 = 1 * 112
   
  
• 112 = 2 * 56
   
  
• 112 = 4 * 28
   
  
• 112 = 8 * 14
   
  
• 112 = 16 * 7
   
  

Now find the row above where the sum of the factors is 22.