mclovingmc mclovingmc
  • 13-06-2017
  • Mathematics
contestada

What number must be added to the expression below to complete the square?

x2 - 22x

A. -121
B. 11
C. 121
D. -11

Respuesta :

mergl
mergl mergl
  • 13-06-2017
22/2=11
11^2=121, or C, would complete the square
Answer Link
DelcieRiveria DelcieRiveria
  • 19-03-2019

Answer:

The correct option is C.

Step-by-step explanation:

The given expression is

[tex]x^2-22x[/tex]                 ....(1)

The perfect square is defined as

[tex](x-y)^2=x^2-2xy+y^2[/tex]                  ....(2)

On comparing (1) and (2) we get

[tex]2y=22[/tex]

[tex]y=11[/tex]

To making perfect square we have to add y² in the given expression.

[tex]y^2=(11)^2=121[/tex]

Therefore the correct option is C.

Answer Link

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