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Find the values of k for each of the following quadratic equations, so that they have two equal roots.(i) `2x^2+k x+3=0` (ii) `k x(x-2)+6=0`

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To find the values of \( k \) for the given quadratic equations so that they have two equal roots, we will use the condition that the discriminant \( D \) must be equal to zero. The discriminant for a quadratic equation of the form \( ax^2 + bx + c = 0 \) is given by: \[ D = b^2 - 4ac \] ### Part (i): \( 2x^2 + kx + 3 = 0 \) ...
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