Quadratic equations

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Created by
Kavni

Cards (9)

  • For what value of V the quadratic equation 9x2 – 3ax + 1 = 0 has equal roots?
    a = +- 2
  • If the roots of quadratic equation px2 + 6x + 1 = 0 are real, then find p.
    9
  • For what values of k, the roots of the equation x2 + 4x + k = 0 are real?
    4
  • Discriminant is positive so there will be two distinct real roots.
  • Find the value of k for which the equation x2 + k(2x + k – 1) + 2 = 0 has real and equal roots.
    2
  • The area of a rectangular plot is 528 m2. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.
    2x^2 = 528
  •  Find the roots of quadratic equations by factorisation:
    (i) √2 x2 + 7x + 5√2=0
    -√2, -5/√2
  • Find the roots of quadratic equations by factorisation:
    (i) 100x2 – 20x + 1 = 0
    x=1/10
  • A plane left 30 minutes late than its scheduled time and in order to reach the destination 1500 km away in time, it had to increase its speed by 100 km/h from the usual speed. Find its usual speed.
    500km/h