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For what values of k ,the equation x^(2)...

For what values of `k` ,the equation `x^(2)-2(1+3k)x+7(3+2k)=0` has equal roots?

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For what values of k, the equation 2x^(2) +kx + 8 = 0 has real and equal roots ?

Find the value of k for which the equation x^(2)-2(1+3k)x+7(3+2k)=0 has two equal roots, which are real.

Knowledge Check

  • For what values of k, the equation x^2+2(k-4) x + 2k=0 has equal roots?

    A
    6 and 4
    B
    8 and 2
    C
    10 and 4
    D
    12 and 2

  • If the equation x^(2)+2(k+2)x+9k=0 has equal roots then k= ?

    A
    1 or 4
    B
    `-1" or "4`
    C
    1 or -4
    D
    `-1" or "-4`

  • The value of k for which the equation x^(2)-(3k-1)x+2k^(2)+2k=11 have equal roots, is

    A
    5
    B
    9
    C
    both (a) and (b)
    D
    0

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    For what value of 'k' will the equation 2k x ^(2) -2 (1+2k)x + (3 +2k) =0 have real but distinct roots ? When will the roots be equal ?

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