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

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

Answer 2

• 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