Question

Select all of the values of n that satisfy the equation n2 = 64.

A.
n = –8


B.
n = –32


C.
n=(64−−√)
D.
n=(64−−√)2
E.
n = 8


F.
n = 32

Answer 1

it would be F. you are just basically dividing 2 from both sides and 64 divided by 2 is 32 :)

Answer 2

The values of n that satisfy the equation n^2 = 64 are n = -8 and n = 8. Options A and E (-8 and 8, respectively) are correct, while the other options do not yield the result 64 when squared.

The student has asked to find the values of n that satisfy the equation n2 = 64.

This is a simple quadratic equation where after taking the square root of both sides, we obtain two solutions: n = 8 and n = -8.

Therefore, the correct values of n are represented by Options A and E: n = -8 and n = 8.

The other options do not satisfy the original equation, as plugging them back into the equation would not result in 64.

For example, option B, n = -32, would result in 1024 which is not equal to 64, and option F, n = 32, would also result in 1024.