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If the quadratic equation px^2-2√5px+15=0 has …

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If the quadratic equation px^2-2√5px+15=0 has two equal roots,then find the value of p.

    • Posted by Mitu Khan Sanmukh 4 years, 8 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 4 years, 8 months ago

    Given quadratic equation is, px² -2√5 px + 15 = 0

    Compare px² -2√5 px + 15 = 0 with ax² + bx + c = 0

    a = p , b = -2√5p , c = 15

    We know that , If the roots of the quadratic equation are equal , then it's discriminant (D) equals to zero.
    discriminant = 0
    b² - 4ac = 0
    ( -2√5 p )² - 4× p × 15 = 0
    20p² - 60p = 0
    20p ( p - 3 ) = 0
    p - 3 = 0
    p = 3

     

     

     

     

     

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