Let x ^ 2 + kx-1 = 0 (1) prove that the equation has two unequal real roots (2) let the two heels of the equation be x1, X2 respectively, Satisfy X1 + x2 = X1 times X2, find the value of K

Let x ^ 2 + kx-1 = 0 (1) prove that the equation has two unequal real roots (2) let the two heels of the equation be x1, X2 respectively, Satisfy X1 + x2 = X1 times X2, find the value of K

1. Δ = K & sup2; + 4 > 0, so the equation has two unequal real roots
2
x1+x2=-b/a=-k/1=-k
x1x2=c/a=-1/2
That is, k = 1 / 2