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  • Question

  • With respect to the roots of x2 - x - 2 = 0, we can say that :


  • Options
  • A. both of them are natural numbers
  • B. both of them are integers
  • C. the latter of the two is negative
  • D. None of these

  • Correct Answer
  • both of them are integers 

    Explanation

    Given :- x2 - x - 2 = 0
    The given equation is of the form
    ax2 + bx + c = 0
    Here , a = 1 , b = -1 , c = - 2
    Now, D2 = b2 - 4ac = ( -1 )2 - 4 x 1 x ( - 2 )
    D = ?9 = 3
    So, roots are rational .
    Hence, both the roots must be integers.

    • Quadratic Equation problems

    Search Results

    • 1. 
      In the following, find the value (s) of P so that the given equation has equal roots 3x 2 - 5x + P = 0

    • Options
    • A. - 25 12
    • B. 25 6
    • C. 25 12
    • D. - 25 6
      • Discuss
    • 2. 
      The roots of the equation ?7x2 - 6x - 13?7 = 0 are

    • Options
    • A. - ?7, - 13 ?7 7
    • B. ?7, - 13 ?7 7
    • C. - ?7, 13 ?7 7
    • D. None of these
      • Discuss
    • 3. 
      In the following determine the set of value of P for which the given quadratic equation has real roots. Px2 + 4 x + 1 = 0

    • Options
    • A. P ? 4
    • B. P > 4
    • C. P ? 4
    • D. P ? 4
      • Discuss
    • 4. 
      ?. x 2 ? 6x = 7
      ?. 2y 2 + 13y + 15 = 0

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
      • Discuss
    • 5. 
      ?. 6x 2 + 77x + 121 = 0
      ?. y 2 + 9y ? 22 = 0

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
      • Discuss
    • 6. 
      If ?, ? are the roots of the quadratic equation x2 - 8x + k = 0, find the value of k such the ?2 + ?2 = 40

    • Options
    • A. 12
    • B. 14
    • C. 10
    • D. 16
      • Discuss
    • 7. 
      ?. x 2 ? 11x + 24 = 0
      ?. 2y 2 ? 9y + 9 = 0

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
      • Discuss
    • 8. 
      ?.
      2 × 4
      		-
      3 × 4
      		= x10/7
      x 4/7
      x 4/7

      ?. y 3 + 783 = 999

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
      • Discuss
    • 9. 
      ?. ( 17 ) 2 + 144 ÷ 18 = x
      ?. ( 26 ) 2 - 18 × 21 = y

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
      • Discuss
    • 10. 
      ?. x 3 × 13 = x 2 × 247
      ?. y 1/3 × 14 = 294 ÷ y 2/3

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
      • Discuss

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