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
    • (
      4
      7
      ,
      4
      7
      )
  • (i)
    (
    35
    x
    2
     
    −
    48
    x
    +
    16
    		)
    =
    0
  • (ii)
    (
    63
    x
    2
     
    −
    64
    x
    +
    16
    		)
    =
    0
  • (iii)
    (
    49
    x
    2
     
    −
    42
    x
    +
    8
    		)
    =
    0
  • (iv)
    (
    49
    x
    2
     
    −
    70
    x
    +
    24
    		)
    =
    0
  • (v)
    (
    49
    x
    2
     
    −
    56
    x
    +
    16
    		)
    =
    0
Question 2
2.
    • Find the quadratic equation with roots
    • (
      8
      7
      ,
      9
      8
      )
  • (i)
    (
    56
    x
    2
     
    −
    127
    x
    +
    72
    		)
    =
    0
  • (ii)
    (
    56
    x
    2
     
    −
    111
    x
    +
    54
    		)
    =
    0
  • (iii)
    (
    56
    x
    2
     
    −
    141
    x
    +
    88
    		)
    =
    0
  • (iv)
    (
    40
    x
    2
     
    −
    109
    x
    +
    72
    		)
    =
    0
  • (v)
    (
    70
    x
    2
     
    −
    143
    x
    +
    72
    		)
    =
    0
Question 3
3.
    • Find the quadratic equation with roots
    • (
      -6
      ,
      -6
      )
  • (i)
    (
    x
    2
     
    +
    9
    x
    +
    18
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    +
    11
    x
    +
    30
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    +
    13
    x
    +
    42
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    +
    14
    x
    +
    48
    		)
    =
    0
  • (v)
    (
    x
    2
     
    +
    12
    x
    +
    36
    		)
    =
    0
Question 4
4.
    • Find the quadratic equation with roots
    • (
      -5
      ,
      4
      )
  • (i)
    (
    x
    2
     
    +
    x
    −
    20
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    −
    25
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    −
    2
    x
    −
    35
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    +
    2
    x
    −
    24
    		)
    =
    0
  • (v)
    (
    x
    2
     
    +
    3
    x
    −
    28
    		)
    =
    0
Question 5
5.
    • Find the quadratic equation, the sum of whose roots is
    • 10
    • and product is
    • 25
  • (i)
    (
    x
    2
     
    −
    10
    x
    +
    25
    		)
    =
    0
  • (ii)
    (
    −
    10
    x
    +
    25
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    −
    12
    x
    +
    25
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    −
    7
    x
    +
    25
    		)
    =
    0
  • (v)
    (
    2
    x
    2
     
    −
    10
    x
    +
    25
    		)
    =
    0
Question 6
6.
    • Find the quadratic equation, the sum of whose roots is
    • 0
    • and product is
    • -9
  • (i)
    (
    x
    2
     
    −
    7
    		)
    =
    0
  • (ii)
    (
    2
    x
    2
     
    −
    9
    		)
    =
    0
  • (iii)
    (
    −
    9
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    −
    11
    		)
    =
    0
  • (v)
    (
    x
    2
     
    −
    9
    		)
    =
    0
Question 7
7.
    • Find the quadratic equation, the sum of whose roots is
    • (
      -7
      2
      		 )
    • and product is
    • 49
      16
  • (i)
    (
    16
    x
    2
     
    +
    56
    x
    +
    49
    		)
    =
    0
  • (ii)
    (
    17
    x
    2
     
    +
    56
    x
    +
    49
    		)
    =
    0
  • (iii)
    (
    16
    x
    2
     
    +
    59
    x
    +
    49
    		)
    =
    0
  • (iv)
    (
    15
    x
    2
     
    +
    56
    x
    +
    49
    		)
    =
    0
  • (v)
    (
    16
    x
    2
     
    +
    53
    x
    +
    49
    		)
    =
    0
Question 8
8.
    • Find the quadratic equation, the sum of whose roots is
    • (
      -1
      5
      		 )
    • and product is
    • (
      -4
      5
      		 )
  • (i)
    (
    −
    24
    x
    2
     
    −
    5
    x
    +
    20
    		)
    =
    0
  • (ii)
    (
    −
    26
    x
    2
     
    −
    5
    x
    +
    20
    		)
    =
    0
  • (iii)
    (
    −
    25
    x
    2
     
    −
    3
    x
    +
    20
    		)
    =
    0
  • (iv)
    (
    −
    25
    x
    2
     
    −
    7
    x
    +
    20
    		)
    =
    0
  • (v)
    (
    −
    25
    x
    2
     
    −
    5
    x
    +
    20
    		)
    =
    0
Question 9
9.
    • Find the quadratic equation whose roots are
    • (
      3
      −

      √

      5
      )
    • and
    • (
      3
      +

      √

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