Question

for which value of k , the equation 2x²+kx+3=0 has equal roots​

Answer 1

Step-by-step explanation:

$\sqrt{k {}^{2} } - 4 \times 2 \times 3 = 0$

( the root falls over the whole equation.

$\sqrt{ k {}^{2} - 24 } = 0$

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

$k {}^{2} - 24 = 0$

$k {}^{2} = 24$

$k = 2 \sqrt{6}$