\bg_white \newline x^2 - k(x-1) + 3 = 0 \newline x^2 - kx + k + 3 = 0 \newline \newline $For equal roots, \Delta = 0$ \newline \Delta = b^2 - 4ac \newline \Delta = (-k)^2 - 4(1)(k+3) \newline \Delta = k^2 - 4k - 12 \newline \newline k^2 - 4k - 12 = 0 \newline (k-6)(k+2)= 0 \newline...