(x - 2)² = 25
Step-by-step explanation:
24 = x² - 4x + 3
rewritting:
x² - 4x = 24 - 3
x² - 4x = 21
using the completing the square:
coefficient of x = -4
square half the coefficient of x = (-4/2)² = (-2)²
Add the square half the cofficient of x to both sides of the equation
x² - 4x + (-2)² = 21 + (-2)²
taking out -4x:
(x - 2)² = 21 + 4
(x - 2)² = 25
The equation above is in the form (x + c)^2 = d or (x – c)^2 = d