Jennifer is correct. 5x^2 = 5x^2 (-5x)^2 = 25x^2 ( note that when negative * negative will give you a positive number.) Thus, (-5x)^2 is greater than 5x^2 . ( note that even if x is a negative number, after x is being square rooted, x will still be a positive number).

Jennifer is wrong. 5x^2 is the same as (-5x)^2. Lets take x as 1. First equation:5(1)^2=25. Second equation:(-5(1))^2=25. To confirm this lets do another example, lets take x as 5. First equation :5(5)^2=625 Second equation:(-5(5))^2=625 Therefore, Jennifer is wrong.

Let x=5,

ReplyDelete5x5^2=125

(-5x5)^2=625

Thus, 5x^2 is smaller than (-5x)^2. Assuming that x is a natural number, whole number and rational number.

Will try to find x if 5xx^2=(-5xx)^2

Please reply so I know if I did it correctly!

DeleteAlso assuming the number is not 1!

DeleteThis comment has been removed by the author.

ReplyDeleteWrong calculation,

DeleteIf x=1,

5*1^2=5 and (-5*1)^2=25

Thus, they are both not the same.

Your errors:

5x^2=5*(x*x), not (5*x)*(5*x)

No.

ReplyDeleteAs 5x^2=25x^2

and

(-5x^2)=25x^2 as well

No, as 5x^2 is equivalent to (-5x)^2:

ReplyDelete5x^2= 5x*5x

(-5x)^2= -5x*-5x

=

5x*5x= -5x*-5x

Hence,

5x*5x= 5x*5x

Jennifer is correct.

ReplyDelete5x^2 = 5x^2

(-5x)^2 = 25x^2 ( note that when negative * negative will give you a positive number.)

Thus, (-5x)^2 is greater than 5x^2 . ( note that even if x is a negative number, after x is being square rooted, x will still be a positive number).

This comment has been removed by the author.

ReplyDeleteThis comment has been removed by the author.

ReplyDeleteSorry refer to the second post.

DeleteIt depends. If x is 10 , then 5x10x10=500 But -50x-50=250. If x is 0, then everything is 0. So with the exception that x is 0, then they are the same.

ReplyDeleteThis comment has been removed by the author.

ReplyDeleteJennifer is wrong. 5x^2 is the same as (-5x)^2.

ReplyDeleteLets take x as 1.

First equation:5(1)^2=25.

Second equation:(-5(1))^2=25.

To confirm this lets do another example, lets take x as 5.

First equation :5(5)^2=625

Second equation:(-5(5))^2=625

Therefore, Jennifer is wrong.

Yes, with one exception.

ReplyDelete5x^2

=5*x*x

(-5x)^2

=(-5)*(-5)*x*x

=25*x*x

But if x=0

5x^2

=5*0*0

=0

(-5x)^2

=25*0*0

=0

5x^2 and (-5x)^2 would be equal.