If the quadratic equations x2+k x+1=0 and x2+x+k=0 have a common root, then sum of possible value(s) of k is

Question

If the quadratic equations x2+k x+1=0 and x2+x+k=0 have a common root, then sum of possible value(s) of k is (A) 1 (B) -2 (C) -1 (D) 2

Tardigrade Admin · Accepted Answer

x 2+ kx +1=0 x 2+ x + k =0 ( k -1) x =( k -1) ⇒ k =1 text or x =1 ⇒ 1+ k +1=0 ⇒ k =-2 k =1 ⇒ both roots are common.

Q. If the quadratic equations $x^{2} + k x + 1 = 0$ and $x^{2} + x + k = 0$ have a common root, then sum of possible value(s) of $k$ is