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
    • (
      6
      7
      ,
      6
      7
      )
  • (i)
    (
    49
    x
    2
     
    −
    84
    x
    +
    36
    		)
    =
    0
  • (ii)
    (
    21
    x
    2
     
    −
    32
    x
    +
    12
    		)
    =
    0
  • (iii)
    (
    35
    x
    2
     
    −
    72
    x
    +
    36
    		)
    =
    0
  • (iv)
    (
    49
    x
    2
     
    −
    98
    x
    +
    48
    		)
    =
    0
  • (v)
    (
    49
    x
    2
     
    −
    70
    x
    +
    24
    		)
    =
    0
Question 2
2.
    • Find the quadratic equation with roots
    • (
      (
      -7
      5
      		 )
      ,
      2
      9
      )
  • (i)
    (
    45
    x
    2
     
    +
    43
    x
    −
    28
    		)
    =
    0
  • (ii)
    (
    27
    x
    2
     
    +
    57
    x
    −
    14
    		)
    =
    0
  • (iii)
    (
    55
    x
    2
     
    +
    67
    x
    −
    14
    		)
    =
    0
  • (iv)
    (
    45
    x
    2
     
    +
    53
    x
    −
    14
    		)
    =
    0
  • (v)
    (
    45
    x
    2
     
    +
    71
    x
    −
    18
    		)
    =
    0
Question 3
3.
    • Find the quadratic equation with roots
    • (
      -2
      ,
      -2
      )
  • (i)
    (
    x
    2
     
    +
    6
    x
    +
    8
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    +
    3
    x
    +
    2
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    +
    2
    x
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    +
    5
    x
    +
    6
    		)
    =
    0
  • (v)
    (
    x
    2
     
    +
    4
    x
    +
    4
    		)
    =
    0
Question 4
4.
    • Find the quadratic equation with roots
    • (
      6
      ,
      -1
      )
  • (i)
    (
    x
    2
     
    −
    6
    x
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    −
    7
    x
    +
    6
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    −
    4
    x
    −
    5
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    −
    5
    x
    −
    6
    		)
    =
    0
  • (v)
    (
    x
    2
     
    −
    2
    x
    −
    3
    		)
    =
    0
Question 5
5.
    • Find the quadratic equation, the sum of whose roots is
    • -10
    • and product is
    • 25
  • (i)
    (
    2
    x
    2
     
    +
    10
    x
    +
    25
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    +
    12
    x
    +
    25
    		)
    =
    0
  • (iii)
    (
    10
    x
    +
    25
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    +
    7
    x
    +
    25
    		)
    =
    0
  • (v)
    (
    x
    2
     
    +
    10
    x
    +
    25
    		)
    =
    0
Question 6
6.
    • Find the quadratic equation, the sum of whose roots is
    • -5
    • and product is
    • 6
  • (i)
    (
    x
    2
     
    +
    5
    x
    +
    6
    		)
    =
    0
  • (ii)
    (
    5
    x
    +
    6
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    +
    8
    x
    +
    6
    		)
    =
    0
  • (iv)
    (
    2
    x
    2
     
    +
    5
    x
    +
    6
    		)
    =
    0
  • (v)
    (
    x
    2
     
    +
    3
    x
    +
    6
    		)
    =
    0
Question 7
7.
    • Find the quadratic equation, the sum of whose roots is
    • (
      -4
      5
      		 )
    • and product is
    • 4
      25
  • (i)
    (
    25
    x
    2
     
    +
    20
    x
    +
    4
    		)
    =
    0
  • (ii)
    (
    25
    x
    2
     
    +
    22
    x
    +
    4
    		)
    =
    0
  • (iii)
    (
    25
    x
    2
     
    +
    18
    x
    +
    4
    		)
    =
    0
  • (iv)
    (
    26
    x
    2
     
    +
    20
    x
    +
    4
    		)
    =
    0
  • (v)
    (
    24
    x
    2
     
    +
    20
    x
    +
    4
    		)
    =
    0
Question 8
8.
    • Find the quadratic equation, the sum of whose roots is
    • -5
    • and product is
    • 6
  • (i)
    (
    −
    4
    x
    2
     
    −
    17
    x
    −
    24
    		)
    =
    0
  • (ii)
    (
    −
    4
    x
    2
     
    −
    20
    x
    −
    24
    		)
    =
    0
  • (iii)
    (
    −
    4
    x
    2
     
    −
    23
    x
    −
    24
    		)
    =
    0
  • (iv)
    (
    −
    5
    x
    2
     
    −
    20
    x
    −
    24
    		)
    =
    0
  • (v)
    (
    −
    3
    x
    2
     
    −
    20
    x
    −
    24
    		)
    =
    0
Question 9
9.
    • Find the quadratic equation whose roots are
    • (
      9
      +
      7

      √

      6
      )
    • and
    • (
      9
      −
      7

      √

      6
      )
  • (i)
    (
    x
    2
     
    −
    18
    x
    −
    213
    		)
    =
    0
  • (ii)
    (
    −
    18
    x
    −
    213
    		)
    =
    0
  • (iii)
    (
    2
    x
    2
     
    −
    18
    x
    −
    213
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    −
    21
    x
    −
    213
    		)
    =
    0
  • (v)
    (
    x
    2
     
    −
    16
    x
    −
    213
    		)
    =
    0
    Assignment Key
  •  1) (i)
  •  2) (iv)
  •  3) (v)
  •  4) (iv)
  •  5) (v)
  •  6) (i)
  •  7) (i)
  •  8) (ii)
  •  9) (i)