Answer:
{1/2, 1/2}
Step-by-step explanation:
Eliminating the fraction 1/4 would make this work a little easier:
4x^2 - 4x + 1 = 0. This is in standard form. Then a = 4, b = -4 and c = 1.
The discriminant is therefore b^2 - 4ac, or 16 - 4(4)(1), or 0.
Since the discriminant is zero, there are two equal real roots:
-b ± √(discriminant)
x = --------------------------------
2a
which here has the following values:
4 ± √0
x = --------------- , which has two values: {1/2, 1/2}
2(4)
