Question

The value(s) of k for the quadratic equation 2x^2+kx+3=0 has two equal roots, is *

6,-6

6 root 2, - 6 root 2

2 root 6, - 2 root 6

​

Answer 1

a = 2

b = k

c = 3

$for \: equal \: roots \\ d = 0 \\ {b}^{2} - 4ac = 0 \\ {k}^{2} - 4 \times 2 \times 3 = 0 \\ {k}^{2} - 24 = 0 \\ {k}^{2} = 24 \\ k = \sqrt{24 } \\ k = 2 \sqrt{6}$

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