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5.2: Application of Quadratic Equations

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    5.2: Application of Quadratic Equations
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  • The sum of squares of two consecutive integers is 365. Find the integers.
    13 and 14
  •  15
  • The length of a rectangle is 5 m more than its width. If area = 84 m², find dimensions.
    7 m × 12 m
  •  15
  • The area of a square field increases by 88 m² when each side is increased by 2 m. Find original side.
    21 m
  •  15
  • A ball is thrown upward with y=50t-5t^2. Find its height at t=4.
    120 m
  •  15
  • In y=40t-5t^2, when will the object return to the ground?
    t=8s
  •  15
  • The sum of two consecutive even numbers is 126. Find them.
    62 and 64
  •  15
  • A rectangle has area 180 m². Its length is 3 m more than its width. Find both.
    12 m and 15 m
  •  15
  • The area of a square increases by 100 m² when side is increased by 5 m. Find original side.
    7.5 m
  •  15
  • y=60t-5t^2. Find height at t=6.
    180 m
  •  15
  • For y=45t-5t^2, when is height = 80 m?
    t=2s or t=8s
  •  15