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
    • (
      9
      8
      ,
      9
      8
      )
  • (i)
    (
    64
    x
    2
     
    −
    128
    x
    +
    63
    		)
    =
    0
  • (ii)
    (
    16
    x
    2
     
    −
    42
    x
    +
    27
    		)
    =
    0
  • (iii)
    (
    80
    x
    2
     
    −
    162
    x
    +
    81
    		)
    =
    0
  • (iv)
    (
    64
    x
    2
     
    −
    160
    x
    +
    99
    		)
    =
    0
  • (v)
    (
    64
    x
    2
     
    −
    144
    x
    +
    81
    		)
    =
    0
Question 2
2.
    • Find the quadratic equation with roots
    • (
      (
      -3
      8
      		 )
      ,
      9
      8
      )
  • (i)
    (
    80
    x
    2
     
    −
    42
    x
    −
    27
    		)
    =
    0
  • (ii)
    (
    64
    x
    2
     
    −
    48
    x
    −
    27
    		)
    =
    0
  • (iii)
    (
    64
    x
    2
     
    −
    32
    x
    −
    45
    		)
    =
    0
  • (iv)
    (
    64
    x
    2
     
    −
    64
    x
    −
    33
    		)
    =
    0
  • (v)
    (
    16
    x
    2
     
    −
    10
    x
    −
    9
    		)
    =
    0
Question 3
3.
    • Find the quadratic equation with roots
    • (
      -8
      ,
      -8
      )
  • (i)
    (
    x
    2
     
    +
    18
    x
    +
    80
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    +
    13
    x
    +
    40
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    +
    17
    x
    +
    72
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    +
    15
    x
    +
    56
    		)
    =
    0
  • (v)
    (
    x
    2
     
    +
    16
    x
    +
    64
    		)
    =
    0
Question 4
4.
    • Find the quadratic equation with roots
    • (
      -9
      ,
      -5
      )
  • (i)
    (
    x
    2
     
    +
    17
    x
    +
    60
    		)
    =
    0
  • (ii)
    (
    x
    2
     
    +
    14
    x
    +
    45
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    +
    15
    x
    +
    50
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    +
    13
    x
    +
    36
    		)
    =
    0
  • (v)
    (
    x
    2
     
    +
    11
    x
    +
    18
    		)
    =
    0
Question 5
5.
    • Find the quadratic equation, the sum of whose roots is
    • 18
    • and product is
    • 81
  • (i)
    (
    x
    2
     
    −
    18
    x
    +
    81
    		)
    =
    0
  • (ii)
    (
    2
    x
    2
     
    −
    18
    x
    +
    81
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    −
    21
    x
    +
    81
    		)
    =
    0
  • (iv)
    (
    −
    18
    x
    +
    81
    		)
    =
    0
  • (v)
    (
    x
    2
     
    −
    15
    x
    +
    81
    		)
    =
    0
Question 6
6.
    • Find the quadratic equation, the sum of whose roots is
    • 6
    • and product is
    • 8
  • (i)
    (
    x
    2
     
    −
    6
    x
    +
    8
    		)
    =
    0
  • (ii)
    (
    −
    6
    x
    +
    8
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    −
    9
    x
    +
    8
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    −
    3
    x
    +
    8
    		)
    =
    0
  • (v)
    (
    2
    x
    2
     
    −
    6
    x
    +
    8
    		)
    =
    0
Question 7
7.
    • Find the quadratic equation, the sum of whose roots is
    • -3
    • and product is
    • 9
      4
  • (i)
    (
    36
    x
    2
     
    +
    106
    x
    +
    81
    		)
    =
    0
  • (ii)
    (
    36
    x
    2
     
    +
    108
    x
    +
    81
    		)
    =
    0
  • (iii)
    (
    36
    x
    2
     
    +
    111
    x
    +
    81
    		)
    =
    0
  • (iv)
    (
    37
    x
    2
     
    +
    108
    x
    +
    81
    		)
    =
    0
  • (v)
    (
    35
    x
    2
     
    +
    108
    x
    +
    81
    		)
    =
    0
Question 8
8.
    • Find the quadratic equation, the sum of whose roots is
    • (
      -1
      2
      		 )
    • and product is
    • (
      -3
      2
      		 )
  • (i)
    (
    −
    13
    x
    2
     
    −
    6
    x
    +
    18
    		)
    =
    0
  • (ii)
    (
    −
    12
    x
    2
     
    −
    3
    x
    +
    18
    		)
    =
    0
  • (iii)
    (
    −
    11
    x
    2
     
    −
    6
    x
    +
    18
    		)
    =
    0
  • (iv)
    (
    −
    12
    x
    2
     
    −
    9
    x
    +
    18
    		)
    =
    0
  • (v)
    (
    −
    12
    x
    2
     
    −
    6
    x
    +
    18
    		)
    =
    0
Question 9
9.
    • Find the quadratic equation whose roots are
    • (
      8
      −
      6

      √

      3
      )
    • and
    • (
      8
      +
      6

      √

      3
      )
  • (i)
    (
    x
    2
     
    −
    13
    x
    −
    44
    		)
    =
    0
  • (ii)
    (
    −
    16
    x
    −
    44
    		)
    =
    0
  • (iii)
    (
    x
    2
     
    −
    19
    x
    −
    44
    		)
    =
    0
  • (iv)
    (
    x
    2
     
    −
    16
    x
    −
    44
    		)
    =
    0
  • (v)
    (
    2
    x
    2
     
    −
    16
    x
    −
    44
    		)
    =
    0
    Assignment Key
  •  1) (v)
  •  2) (ii)
  •  3) (v)
  •  4) (ii)
  •  5) (i)
  •  6) (i)
  •  7) (ii)
  •  8) (v)
  •  9) (iv)