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What is nature of roots

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What is nature of roots

    • Posted by Himanshu Verma 4 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 4 years, 10 months ago

    Nature of Roots

    A quadratic equation ax2 + bx + c = 0 has

    (i) two distinct real roots, if b2 – 4ac > 0,

    (ii) two equal real roots, if b2 – 4ac = 0,

    (iii) no real roots, if b2 – 4ac < 0.

    Since b2 – 4ac determines whether the quadratic equation ax2 + bx + c = 0 has real roots or not, b2 – 4ac is called the discriminant of this quadratic equation

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