Study

Completing the Square

  •   0%
  •  0     0     0

  • Factor. y=x^2-20x+100
    y=(x-10)^2
  • Complete the square and solve to find the zeros. 0=x^2 + 10x
    zeros at x=0 and x= -10
  • Complete the square and solve to find zeros. 2= x^2 + x
    solutions are x= -2 and x= 1
  • The rule of completing the square is doing what to coefficient of x?
    (b/2)²
  • Factor. y=x^2+2x+1
    y=(x+1)^2
  • Complete the square by adding zero pairs, then factor. y=x^2 + 2x
    y=(x+1)^2 - 1
  • Complete the square and solve to find zeros. 4=x^2 - 14x
    solutions are x= -√53 + 7 and x= √53 + 7
  • What factor should you add to the expression to complete the square? x^2 - 30x
    225
  • What factor should you add to the expression to complete the square? x^2 + 3x
    2.25
  • Complete the square by adding zero pairs, then factor. y=x^2 + x
    y=(x+0.5)^2 - 0.25
  • Factor. y=x^2 - 14x + 49
    y=(x-7)^2
  • Complete the square and solve to find the zeros. 0=x^2 + 4x
    zeros at x= -4 and x=0
  • What is a real life application of completing the square
    Expanding or minimizing spaces of lands / Answers may vary
  • Area of rectangle = 50 / Length is (x+1) / Width is (x), Find the value of x
    x = -5 + 5√3
  • Complete the square by adding zero pairs, then factor. y=x^2+6x
    y=(x+3)^2 - 9
  • Complete the square and solve to find the zeros. y=x^2-12x
    zeros at x=0 and x=12
  • Complete the square by adding zero pairs, then factor. y=x^2-5x
    y=(x-2.5)^2-6.25
  • What are the solutions of x² + 10x + 8 = 5 ?
    x1 = -5 + 2√3  // x2 = -5 - 2√3
  • Complete the square and solve to find zeros. -2=x^2 + 10x
    solutions are x= -√23-5 and x= √23 -5