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Equation with a parameter k has equal roots: find the values of k

The same question, asked 2 times: CDS 1 2021*, CDS 2 2024. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2021

    23
    If the equation 4x2−2kx+3k=04x^2 - 2kx + 3k = 0 has equal roots, then what are the values of kk?

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  2. Question 2

    CDS 2 2024

    38
    If the roots of the equation x2−(k−2)x+(k+1)=0x^2 - (k - 2)x + (k + 1) = 0 are equal, then what are the values of kk ?

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