Question

If one of the roots of the quadratic equation x^2-11x+k=0. Is 9 then value of k

Answer 1

b^2-4ac

a=1 b=-11 c=k

(-11)^2-4(1)(k)

121-4k=0

121=4k

k=121/4

Answer 2

Answer:

Step-by-step explanation:

a, (a-2) are roots,

a+a-2 =k,

2a-2=k

a(a-2)= 3,

a^2–2a-3=0,

(a+1)(a-3)=0,

a=-1, a=3

(1) If a=-1, k=-4

(2) if a=3, k=4