x^2-4x+3=0 complete the square

Answer:

x^2-4x+3=0
Move the constant to the right
x^2-4x=-3
Add (4/2)^2 to both sides
x^2-4x+(4/2)^2=-3+(4/2)^2
Factor
(x-4/2)^2=1
Reduce the fraction
(x-2)^2=1

x=1

x=3

x1=1, x2=3

Answer Link

RajarshiG RajarshiG · Answer 2 · 2022-06-08T13:05:28+02:00

As per the quadratic equation, the given equation can be modified into (x - 2)² = 1. The value of x is 3, 1.

What is a quadratic equation?

A quadratic equation is an equation where the variable has the highest degree of 2. A quadratic equation might have more than one variable. However, the highest degree of any variable must be 2.

Given equation: x² - 4x + 3 = 0

⇒ x² - 4x + 3 + 1 = 1 (By adding 1 on either side)

⇒ x² - 4x + 4 = 1

⇒ x² - 2 × x × 2 + 2² = 1

⇒ (x - 2)² = 1

⇒ x - 2 = ±1

⇒ x = 3, 1

Learn more about a quadratic equation here: https://brainly.com/question/1603229

#SPJ2