Question

Aisha, Silvio, and Jim, each solved the same equation. Aisha's answer was x = 4, Silvio's answer was x = 8, and Jim's answer was x = 16. If either Aisha or Jim, but not Silvio, is correct, which of these equations could it be? Select all that apply. x3 = 64 x2 = 4 x2 = 16 x2 = 256 x2 = 64 x3 = 8

Answer 1

• x³ = 64
• x² = 16
• x² = 256

Explanation:

Equations and solutions

• x³ = 64 ⇒ x = ∛64 = 4
• x² = 4 ⇒ x =√4 ⇒ x = ±2
• x² = 16 ⇒ x = √16 ⇒ x = ±4
• x² = 256 ⇒ x = √256 ⇒ x = ±16
• x² = 64 ⇒ x = √64 ⇒ x = ±8
• x³ = 8 ⇒ x = ∛8 ⇒ x= 2

Aisha's answer = 4

Silvio's answer = 8

Jim's answer = 16

If either Aisha's or Jim's answer is correct then possible equations with same answers are:

• x³ = 64
• x² = 16
• x² = 256