How do you solve y = x^2 - 4x + 4 using the quadratic formula?

1 Answer
Mar 9, 2018

See a solution process below:

Explanation:

The quadratic formula states:

For color(red)(a)x^2 + color(blue)(b)x + color(green)(c) = 0, the values of x which are the solutions to the equation are given by:

x = (-color(blue)(b) +- sqrt(color(blue)(b)^2 - (4color(red)(a)color(green)(c))))/(2 * color(red)(a))

Substituting:

color(red)(1) for color(red)(a)

color(blue)(-4) for color(blue)(b)

color(green)(4) for color(green)(c) gives:

x = (-color(blue)(-4) +- sqrt(color(blue)(-4)^2 - (4 * color(red)(1) * color(green)(4))))/(2 * color(red)(1))

x = (4 +- sqrt(16 - 16))/2

x = (4 +- 0)/2

x = 4/2

x = 2