Question

If the equation 3x²-kx+2k has equal Roots then the value of k is

Answer 1

$\huge{\mathcal{\blue{\underline{Answer}}}}$

Condition for equal roots :

$b {}^{2} - 4ac = 0$

$( - k) {}^{2} - 4(3)(2k) = 0 \\ k {}^{2} - 24k = 0 \\ k {}^{2} = 24k$

$\huge{\mathcal{\blue{\implies{\underline{K=24}}}}}$