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

Hi 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.

Cheers,
Penny
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