Question

write a quadratic equation in the variable x having the given numbers as a solution.
ax^2+bx+c=0
2, only solution

Answer 1

(x - 2)(x - 2)
Can you FOIL it to get the answer?

Answer 2

if x=2 is the only solution of ax^2+bx+c=0,
then a(x-2)^2=0, a=any number except 0 or 2*b+c=0, a=0 c=-2b.
in the first case, a(x-2)^2=0 → ax^2-4ax+4a=0 → b=-4a, c=4a

Answer 3

x^2-4x+4=0