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Homework Help

Lesson: Completing the Square

In this lesson, we will learn how to complete the square for expressions where the coefficient of the leading term is one or otherwise.

Video

17:49

Sample Question Videos

02:01
04:46
02:18

Worksheet • 25 Questions • 6 Videos

Q1:

Given that π‘₯ βˆ’ 1 0 π‘₯ = ( π‘₯ + 𝑝 ) + π‘ž 2 2 , what are the values of 𝑝 and π‘ž ?

  • A 𝑝 = βˆ’ 5 , π‘ž = βˆ’ 2 5
  • B 𝑝 = 1 0 , π‘ž = βˆ’ 1 0 0
  • C 𝑝 = βˆ’ 5 , π‘ž = 2 5
  • D 𝑝 = βˆ’ 1 0 , π‘ž = βˆ’ 1 0 0
  • E 𝑝 = 5 , π‘ž = βˆ’ 2 5

Q2:

Given that π‘₯ + 2 π‘₯ + 5 = ( π‘₯ + 𝑝 ) + π‘ž 2 2 , what are the values of 𝑝 and π‘ž ?

  • A 𝑝 = 1 , π‘ž = 4
  • B 𝑝 = 5 , π‘ž = 1
  • C 𝑝 = 1 , π‘ž = 5
  • D 𝑝 = 2 , π‘ž = 5
  • E 𝑝 = 2 , π‘ž = 1

Q3:

Given that 3 π‘₯ + 3 π‘₯ + 5 = π‘Ž ( π‘₯ + 𝑝 ) + π‘ž 2 2 , what are the values of π‘Ž , 𝑝 , and π‘ž ?

  • A π‘Ž = 3 , 𝑝 = 1 2 , π‘ž = 1 7 4
  • B π‘Ž = 5 , 𝑝 = 3 2 , π‘ž = 1 1 4
  • C π‘Ž = 3 , 𝑝 = 3 2 , π‘ž = 1 1 4
  • D π‘Ž = 5 , 𝑝 = 3 1 0 , π‘ž = 9 1 2 0
  • E π‘Ž = 3 , 𝑝 = 1 2 , π‘ž = 1 9 4
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