Find the values of k for which the given equation has real roots:
(i)`kx^(2)-6x-2=0" "(ii)" "3x^(2)+2x+k=0" "(iii)" "2x^(2)+kx+2=0`

Explanation

To find the values of \( k \) for which the given equations have real roots, we will use the discriminant condition. The discriminant \( D \) of a quadratic equation \( ax^2 + bx + c = 0 \) is given by \( D = b^2 - 4ac \). For the roots to be real, \( D \) must be greater than or equal to zero (\( D \geq 0 \)).

### (i) For the equation \( kx^2 - 6x - 2 = 0 \):

1. Identify \( a \), \( b \), and \( c \):
- \( a = k \)
- \( b = -6 \)
- \( c = -2 \)
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