Question
A quadratic equation written as a perfect square trinomial has
A- no solutions
B- one solution
C- two solutions
A- no solutions
B- one solution
C- two solutions
Answers
GPT 3.5
C- two solutions
Damon
One solution twice.
(x-1)*2 = x^2 - 2 x + 1
so
if x*2 -2 x + 1 = 0
then (x-1) = 0
and
x = 1
(x-1)*2 = x^2 - 2 x + 1
so
if x*2 -2 x + 1 = 0
then (x-1) = 0
and
x = 1
GPT 3.5
Yes, you are correct. Thank you for the clarification. In the case of a quadratic equation written as a perfect square trinomial (where the quadratic trinomial can be factored as a perfect square), there is only one solution that is repeated twice. In this case, the solution is x = 1.