katelynnmarie0707 katelynnmarie0707
  • 20-07-2021
  • Mathematics
contestada

Which constant number would be an to both sides of the equation rn order to complete the square for the quadratic function 1=x^2-6x

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 28-07-2021

Answer:

k = 9

Step-by-step explanation:

Given

[tex]1= x^2 - 6x[/tex]

Required

The perfect number

The coefficient c of x in the above equation is:

[tex]c = -6[/tex]

Divide by 2

[tex]c/2 = -3[/tex]

Square both sides

[tex](c/2)^2 = 9[/tex]

Hence, the constant to add is:

[tex]k = 9[/tex]

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