What are the domain of the Group A equations?
x² - 1 = 0
Domain: (-∞, ∞)
(x + 7) = x² + 49
Domain: (-∞, ∞)
(x² - 4)/(x - 2) = 2x - 1
Domain: (-∞, ∞)
What are the domain of the Group B equations?
x² - 1 = (x - 1)(x + 1)
Domain: (-∞, ∞)
(x + 7)² = x² + 14x + 49
Domain: (-∞, ∞)
(x² - 4)/(x - 2) = x + 2
Domain: (-∞, ∞)
Which group of equations is true for only one real number?
Group A is true for only one real number
x² - 1 = 0
(x + 1)(x - 1)
x = -1 ; x = 1
(x + 7) = x² + 49
x + 7 = x² + 49
x² - x + 42 = 0
(x² - 4)/(x - 2) = 2x - 1
(x + 2)(x - 2)/(x - 2) = 2x - 1
x + 2 = 2x - 1
x - 2x + 2 + 1 = 0
-x + 3 = 0
-x = -3
x = 3
Which group of equations is true for all real numbers?
Group B is true for all real numbers
x² - 1 = (x - 1)(x + 1)
x² - 1 = x² - 1
0 = 0 ; true
(x + 7)² = x² + 14x + 49
(x² + 14x + 49 = x² + 14x + 49
0 = 0 ; true
(x² - 4)/(x - 2) = x + 2
(x² - 4) = (x - 2)(x + 2)
x² - 4 = x² - 4 ;
0 = 0 ; true
#CarryOnLearning
