Question

2

Which quadratic equation has exactly one distinct real solution?
(x + 3)2 = 0
(x + 3)2 = -9
(x + 3)2 = 9
(x + 3)2 = 27

Answer 1

• A) (x + 3)² = 0

Explanation:

• A) (x + 3)² = 0 ⇒ x + 3 = 0 ⇒ x = - 3 ⇒ one real solution
• B) (x + 3)² = -9 ⇒ x + 3 = √-9 ⇒ no real solutions
• C) (x + 3)² = 9 ⇒ x + 3 = ± 3 ⇒ x = - 3 ± 3 ⇒ two real solutions
• D) (x + 3)² = 27 ⇒ x + 3 = ± 3√3 ⇒ x = - 3 ± 3√3 ⇒ two real solutions