Maciahbosch Maciahbosch
  • 26-01-2022
  • Mathematics
contestada

Decide what number must be added to each binomial to make a perfect square trinomial. Show your
work.
X^2-21x

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 26-01-2022

Answer:

  110.25

Step-by-step explanation:

Consider the square ...

  (x +a)^2 = x^2 +2ax +a^2

The added constant (a^2) is the square of half the x-coefficient:

  a^2 = ((2a)/2)^2

__

The added constant needs to be the square of half the x-coefficient:

  c = (-21/2)^2 = 441/4 = 110.25

__

  x^2 -21x +110.25 = (x -10.5)^2

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