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Factoring Quadratics & Quadratic Applications

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  • When a positive number is subtracted from its square the result is 42. Find the number.
    x = 7
  •  25
  • The length of a rectangle is 8 more than the width. If the area of the rectangle is 20, find the dimensions of the rectangle.
    x=2 and x=10
  •  25
  • A positive number squared decreased by three times the number is 18. Find the number.
    x=6
  •  25
  • A positive number is added to its square and the result is 20. Find the number.
    x=4
  •  25
  • Solve: x² − 7x − 18 = 0
    x= 9, x = -2
  •  15
  • Solve: x² − 16x + 63 = 0
    x = 7, x = 9
  •  15
  • Solve: c² - 121 = 0
    c = 11, c = -11
  •  15
  • Solve: 3x² +6x =0
    x = 0, x= -2
  •  15
  • Solve: p² − 5 p − 14= 0
    x= 7, x = -2
  •  15
  • Solve: x² = 144
    x = 12, x = -12
  •  15
  • Solve: a²- 2a =35
    a = 7, a = -5
  •  15
  • Solve: b² + 11b +18 = 0
    b = -2, b = -9
  •  15
  • Solve: x²- x - 2= 0
    x = -1, x = 2
  •  15
  • Solve: x² -4x= 45
    x = 9, x = -5
  •  15
  • Solve: x² - 81 = 0
    x = 9, x = -9
  •  15
  • Solve: x² -6x -27 = 0
    x = 9, x =-3
  •  15