Question

What is the nature of the roots for y=x2 - 4x + 4?

Answer 1

x = 2

Step-by-step explanation by completing the square:

Solve for x:

x^2 - 4 x + 4 = 0

Write the left hand side as a square:

(x - 2)^2 = 0

Take the square root of both sides:

x - 2 = 0

Add 2 to both sides:

Answer: x = 2