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
    • (
      (
      -7
      6
      		 )
      ,
      (
      -7
      6
      		 )
      )
  • (i)
    (
    12
    x
    2
     
    +
    32
    x
    +
    21
    		)
    =
    0
  • (ii)
    (
    36
    x
    2
     
    +
    72
    x
    +
    35
    		)
    =
    0
  • (iii)
    (
    24
    x
    2
     
    +
    70
    x
    +
    49
    		)
    =
    0
  • (iv)
    (
    36
    x
    2
     
    +
    84
    x
    +
    49
    		)
    =
    0
  • (v)
    (
    48
    x
    2
     
    +
    98
    x
    +
    49
    		)
    =
    0
Question 2
2.
    • Find the quadratic equation with roots
    • (
      (
      -7
      3
      		 )
      ,
      5
      4
      )
  • (i)
    (
    12
    x
    2
     
    +
    13
    x
    −
    35
    		)
    =
    0
  • (ii)
    (
    18
    x
    2
     
    +
    27
    x
    −
    35
    		)
    =
    0
  • (iii)
    (
    4
    x
    2
     
    +
    23
    x
    −
    35
    		)
    =
    0
  • (iv)
    (
    4
    x
    2
     
    +
    7
    x
    −
    15
    		)
    =
    0
  • (v)
    (
    12
    x
    2
     
    +
    7
    x
    −
    49
    		)
    =
    0
Question 3
3.
    • Find the quadratic equation with roots
    • (
      3
      ,
      3
      )
  • (i)
    (
    x
    2
     
    −
    5
    x
    +
    6
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    −
    6
    x
    +
    9
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    −
    7
    x
    +
    12
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    −
    3
    x
    		)
    =
    0
  • (v)
    (
    x
    2
     
    −
    9
    x
    +
    18
    		)
    =
    0
Question 4
4.
    • Find the quadratic equation with roots
    • (
      2
      ,
      5
      )
  • (i)
    (
    x
    2
     
    −
    7
    x
    +
    10
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    −
    4
    x
    −
    5
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    −
    9
    x
    +
    14
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    −
    6
    x
    +
    5
    		)
    =
    0
  • (v)
    (
    x
    2
     
    −
    8
    x
    +
    12
    		)
    =
    0
Question 5
5.
    • Find the quadratic equation, the sum of whose roots is
    • 16
    • and product is
    • 64
  • (i)
    (
    x
    2
     
    −
    13
    x
    +
    64
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    −
    16
    x
    +
    64
    		)
    =
    0
  • (iii)
    (
    2
    x
    2
     
    −
    16
    x
    +
    64
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    −
    19
    x
    +
    64
    		)
    =
    0
  • (v)
    (
    −
    16
    x
    +
    64
    		)
    =
    0
Question 6
6.
    • Find the quadratic equation, the sum of whose roots is
    • 0
    • and product is
    • -36
  • (i)
    (
    x
    2
     
    −
    36
    		)
    =
    0
  • (ii)
    (
    2
    x
    2
     
    −
    36
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    −
    39
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    −
    34
    		)
    =
    0
  • (v)
    (
    −
    36
    		)
    =
    0
Question 7
7.
    • Find the quadratic equation, the sum of whose roots is
    • 14
    • and product is
    • 49
  • (i)
    (
    −
    14
    x
    +
    49
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    −
    14
    x
    +
    49
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    −
    16
    x
    +
    49
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    −
    11
    x
    +
    49
    		)
    =
    0
  • (v)
    (
    2
    x
    2
     
    −
    14
    x
    +
    49
    		)
    =
    0
Question 8
8.
    • Find the quadratic equation, the sum of whose roots is
    • 7
      8
    • and product is
    • 3
      16
  • (i)
    (
    48
    x
    2
     
    −
    44
    x
    +
    9
    		)
    =
    0
  • (ii)
    (
    47
    x
    2
     
    −
    42
    x
    +
    9
    		)
    =
    0
  • (iii)
    (
    48
    x
    2
     
    −
    40
    x
    +
    9
    		)
    =
    0
  • (iv)
    (
    49
    x
    2
     
    −
    42
    x
    +
    9
    		)
    =
    0
  • (v)
    (
    48
    x
    2
     
    −
    42
    x
    +
    9
    		)
    =
    0
Question 9
9.
    • Find the quadratic equation whose roots are
    • (
      8
      −
      8

      √

      2
      )
    • and
    • (
      8
      +
      8

      √

      2
      )
  • (i)
    (
    x
    2
     
    −
    16
    x
    −
    64
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    −
    19
    x
    −
    64
    		)
    =
    0
  • (iii)
    (
    2
    x
    2
     
    −
    16
    x
    −
    64
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    −
    13
    x
    −
    64
    		)
    =
    0
  • (v)
    (
    −
    16
    x
    −
    64
    		)
    =
    0
    Assignment Key
  •  1) (iv)
  •  2) (i)
  •  3) (ii)
  •  4) (i)
  •  5) (ii)
  •  6) (i)
  •  7) (ii)
  •  8) (v)
  •  9) (i)