Question

for the value of k does the quadratic equation (k-5) x square +2(k-5)x + 2=0 have e​

Answer 1

Quadratic equation ax

2

+bx+c=0 has equal roots if b

2

−4ac=0

⇒[2(k−5)]

2

−4(2)(k−5)=0

⇒4(k−5)[k−5−2]=0

⇒k=5 or k=7