Question

The discriminant of the equation x^2 - 4x + 4 = 0 shows there will be solution(s).

1. one real
2. one imaginary
3. two imaginary
4. no real or imaginary

Answer 1

one real

Answer: 1

Explanation:

Givens

a = 1

b = -4

c = 4

Discriminate

Discriminate = sqrt(b^2 - 4*a*c)

Discriminate = sqrt( (-4)^2 - 4 * (1)(4) )

Discriminate = sqrt ( 16 - 16)

Discriminate = sqrt(0)

Discriminate = 0

That means the 1 real root is - b / 2a = 4/(2*1) = - -2 = 2