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Find the value of k for …

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Find the value of k for which the roots of the quad.equation xkipower 2 +k(4x+k-1)+2=0 are equal

    • Posted by Mann Maan 6 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Ram Kushwah 6 years, 11 months ago

    x​​​​​​2​​​​​+k(4x+k-1)+2=0

    X​​​​​​2+4kx+k​​​​​​2​​​​​-k+2=0

    If roots are equal then

    b​​​​​​2=4ac

    Here a=1,b=4k c=k​​​​​​2​​​​​-k+2

    So (4k)^2=4×1×(k^2-k+2)

    4k^2=k^2-k+2

    3k^2+k-2=0

    3k^2+3k-2k-2=0

    3k(k+1)-2(k+1)=0

    (3k-2)(k+1)=0

    k=2/3, .- 1

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