EduSahara™ Assignment
Name : Finding Quadratic Equations when Roots are given
Chapter : Quadratic Equations
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • Find the quadratic equation with roots
    • (
      1
      4
      ,
      1
      4
      )
  • (i)
    (
    16
    x
    2
     
    −
    8
    x
    +
    1
    		)
    =
    0
  • (ii)
    (
    16
    x
    2
     
    −
    16
    x
    +
    3
    		)
    =
    0
  • (iii)
    (
    16
    x
    2
     
    −
    1
    		)
    =
    0
  • (iv)
    (
    8
    x
    2
     
    −
    6
    x
    +
    1
    		)
    =
    0
  • (v)
    (
    24
    x
    2
     
    −
    10
    x
    +
    1
    		)
    =
    0
Question 2
2.
    • Find the quadratic equation with roots
    • (
      (
      -1
      3
      		 )
      ,
      9
      5
      )
  • (i)
    (
    21
    x
    2
     
    −
    20
    x
    −
    9
    		)
    =
    0
  • (ii)
    (
    15
    x
    2
     
    −
    28
    x
    −
    11
    		)
    =
    0
  • (iii)
    (
    15
    x
    2
     
    −
    22
    x
    −
    9
    		)
    =
    0
  • (iv)
    (
    5
    x
    2
     
    −
    4
    x
    −
    9
    		)
    =
    0
Question 3
3.
    • Find the quadratic equation with roots
    • (
      -2
      ,
      -2
      )
  • (i)
    (
    x
    2
     
    +
    3
    x
    +
    2
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    +
    4
    x
    +
    4
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    +
    6
    x
    +
    8
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    +
    5
    x
    +
    6
    		)
    =
    0
  • (v)
    (
    x
    2
     
    +
    x
    −
    2
    		)
    =
    0
Question 4
4.
    • Find the quadratic equation with roots
    • (
      -2
      ,
      4
      )
  • (i)
    (
    x
    2
     
    −
    5
    x
    −
    14
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    −
    3
    x
    −
    10
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    −
    16
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    −
    x
    −
    12
    		)
    =
    0
  • (v)
    (
    x
    2
     
    −
    2
    x
    −
    8
    		)
    =
    0
Question 5
5.
    • Find the quadratic equation, the sum of whose roots is
    • 6
    • and product is
    • 9
  • (i)
    (
    x
    2
     
    −
    6
    x
    +
    9
    		)
    =
    0
  • (ii)
    (
    −
    6
    x
    +
    9
    		)
    =
    0
  • (iii)
    (
    2
    x
    2
     
    −
    6
    x
    +
    9
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    −
    8
    x
    +
    9
    		)
    =
    0
  • (v)
    (
    x
    2
     
    −
    4
    x
    +
    9
    		)
    =
    0
Question 6
6.
    • Find the quadratic equation, the sum of whose roots is
    • 5
    • and product is
    • -14
  • (i)
    (
    x
    2
     
    −
    5
    x
    −
    14
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    −
    3
    x
    −
    14
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    −
    7
    x
    −
    14
    		)
    =
    0
  • (iv)
    (
    2
    x
    2
     
    −
    5
    x
    −
    14
    		)
    =
    0
  • (v)
    (
    −
    5
    x
    −
    14
    		)
    =
    0
Question 7
7.
    • Find the quadratic equation, the sum of whose roots is
    • (
      -4
      3
      		 )
    • and product is
    • 4
      9
  • (i)
    (
    9
    x
    2
     
    +
    12
    x
    +
    4
    		)
    =
    0
  • (ii)
    (
    9
    x
    2
     
    +
    15
    x
    +
    4
    		)
    =
    0
  • (iii)
    (
    8
    x
    2
     
    +
    12
    x
    +
    4
    		)
    =
    0
  • (iv)
    (
    9
    x
    2
     
    +
    9
    x
    +
    4
    		)
    =
    0
  • (v)
    (
    10
    x
    2
     
    +
    12
    x
    +
    4
    		)
    =
    0
Question 8
8.
    • Find the quadratic equation, the sum of whose roots is
    • (
      -12
      7
      		 )
    • and product is
    • (
      -4
      7
      		 )
  • (i)
    (
    14
    x
    2
     
    +
    27
    x
    −
    8
    		)
    =
    0
  • (ii)
    (
    14
    x
    2
     
    +
    24
    x
    −
    8
    		)
    =
    0
  • (iii)
    (
    15
    x
    2
     
    +
    24
    x
    −
    8
    		)
    =
    0
  • (iv)
    (
    14
    x
    2
     
    +
    21
    x
    −
    8
    		)
    =
    0
  • (v)
    (
    13
    x
    2
     
    +
    24
    x
    −
    8
    		)
    =
    0
Question 9
9.
    • Find the quadratic equation whose roots are
    • (
      1
      −
      5

      √

      5
      )
    • and
    • (
      1
      +
      5

      √

      5
      )
  • (i)
    (
    x
    2
     
    +
    x
    −
    124
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    −
    4
    x
    −
    124
    		)
    =
    0
  • (iii)
    (
    2
    x
    2
     
    −
    2
    x
    −
    124
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    −
    2
    x
    −
    124
    		)
    =
    0
  • (v)
    (
    −
    2
    x
    −
    124
    		)
    =
    0
    Assignment Key
  •  1) (i)
  •  2) (iii)
  •  3) (ii)
  •  4) (v)
  •  5) (i)
  •  6) (i)
  •  7) (i)
  •  8) (ii)
  •  9) (iv)