Question

plz anyone ans any one q from 5th sum

Answer 1

Let's Solve the first question
$given \: equation \\ 2 {x}^{2} + kx + 3 = 0 \\ now \: for \: the \: real \: roots \: \\ the \: condition \: would \: be \: \\ d \geqslant 0 \\ where \: d \: is \: discriminant \: which \: is \: equal \: to \: \\ {b}^{2} - 4ac \\ in \: the \: equation \: b = k \: \: a = 2 \: \: c = 3 \\ now \: {b}^{2} - 4ac \geqslant 0 \\ {k}^{2} - 4(2)(3) \geqslant 0 \\ {k}^{2} \geqslant 24 \\ k \geqslant \sqrt{24}$