Question

Find the possible values of the constant k if the roots of the quadratic equation

Answer 1

Answer:

${b}^{2} - 4ac = 0 \\ { ( - k - 2)}^{2} - 4(1)(4) = 0\\ {k}^{2} + 4k + 4 - 4 = 0 \\ {k}^{2} + 4k = 0 \\ k(k + 4) = 0 \\ \therefore \: k = 0 \: or \: k = - 4$