Question

Find the value of $k$ if the roots of the quadratic equation are real and unequal $2x^2+kx+3=0$.

Answer 1

$2x^2+kx+3=0$

$x\ge 0$

$k^2-4\left(2\right)\left(3\right)\ge 0$

$k^2-24\ge 0$ $k\in [-\sqrt{24},\sqrt{24}]$