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Deepak Bora
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Quadratic equations : The quadratic equation px² – 2 px + 15 = 0 has two equal roots, then find the value of p.

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The quadratic equation px² – 2sqrt{5} px + 15 = 0 has two equal roots, then find the value of p.

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  1. Equation has equal roots (px²-2px+15=0)

    ∴ b²-4ac =0

    Comparing the equation with ax²+bx+c=0

    a=p, b= -2√5p & c= 15

    (-2√5p)²-4(p)(15)=0

    20p²-60p=0

    20p(p-3)= 0

    ∴ p=0,

    &

    P=3.

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