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Quadratic Equations

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  • One root of the quadratic equation 8x^2 + mx + 15 = 0 is 3/4 . Find the value of m.
    m = -26
  • Find the value of k for which equation 4x^2 + 8x – k = 0 has real roots.
    k is > = –4
  • Find x: 2x^2 – 9x + 10 = 0, when : x belongs to W.
    x = 2
  • Is x = 5 a solution of the equation x^2 – 2x – 15 = 0 ?
    YES
  • Without solving, comment upon the nature of roots of each of the following equation: 6x^2– 13x + 4 = 0
    Real and Unequal
  • Round off to two significant figures: x=3.618 or x=1.382
    ∴x = 3.6 or x= 1.4
  • Solve : x=4±√11, give your answer to one decimal place.
    ∴x=4+3.317 or x=4-3.317 ∴x=7.317 or 0.683 ∴x=7.3 or 0.7
  • The equation 3x^2 – 12x + (n – 5) = 0 has equal roots. Find the value of n.
    n = 17
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