Question

Which equation has both 4 and -4 as possible values of y? A. y 3 = 64 B. y 3 = 8 C. y 2 = 16 D. y 2 = 8

Answer 1

• y²=16

Let's see how?

We know a polynomial having degree n has n zeros

Here

• degree is 2
• So 2 zeros

Hence answer will be

• ±4

Option C

Answer 2

y² = 16

options provided:

A. y³ = 64

B. y³ = 8

✔ C. y² = 16

D. y² = 8

solve:

• a) y³ = 64 ⇒ y = ³√64 ⇒ y = 4

• b) y³ = 8 ⇒ y = ³√8 ⇒ 2

• c) y² = 16 ⇒ y = ±√16 ⇒ y = ±4

• d) y² = 8 ⇒ y = ±√8 ⇒ ±2√2