For what values of p will the equation 5×2 – px +45 = 0 have equal roots​

Question

For what values of p will the equation 5×2 – px +45 = 0 have equal roots​

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Thanh Thu 5 months 2021-08-04T20:08:57+00:00 1 Answers 10 views 0

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  1. bonexptip
    0
    2021-08-04T20:10:07+00:00
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    Answer:

    The two solutions are:

    p = 30 and p = -30

    Step-by-step explanation:

    Given the equation

    5x^2\:-\:px\:+45\:=\:0

    • We know that the quadratic equation ax²+bx+c=0 will have equal roots if its discriminant b²-4ac = 0

    For the given quadratic equation

    5x^2\:-\:px\:+45\:=\:0

    a=5, b=-p, c=45

    b²-4ac = 0

    (-p)² – 4(5)(45)=0

    p²-900=0

    p² = 900

    p = ± 30

    The two solutions are:

    p = 30 and p = -30

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )