Friday, 13 February 2015

Algebra... Which is larger? (II)


Jennifer says, "5x2  is always smaller than  (-5x)2. "

Do you agree? Explain your answer. 

Enter your response in Comments.

This question is compulsory.

27 comments:

  1. No. If "x" is an even number, it means that -5 will become a positive number after multiplication, making it THE SAME AS "(-5x) squared by 2" But, if it "x" is an odd number, it means that -5 would still be a negative number, making it SMALLER than "5x squared by 2".

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    Replies
    1. For example, in 5x squared by 2 and (-5x) squared by 2, x = 2, then 5x squared by 2 would be 100, and (-5x) squared by 2 would also be 100, thus making them equal.

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  2. Replies
    1. If x is less than 0, 5x to the power of 2 will be positive, and -5x to the power of two will be negative.
      Hence 5x to the power of 2 could be larger than -5x to the power of 2.

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    2. If x is equal to 0, both will be the same.

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  3. I do not agree. If X=2, 5 x X=10. Its square root is positive 100. (-5X) would be -5 x X= -10. The square root of -10 is 100. The two numbers do not always have to be different.

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  4. No. Minus squared is positive. If x is 1, (-5x)2 is the same as 5x2.

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  5. X is 0 she said that it is always smaller than but if they represent x as 0, both would be 0 which would be equal not smaller

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  7. wrong
    lets say x is -20 then 5x2 is equal to 20
    but -5x2 is equal to 100

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  8. If x is a negative, then 5x^2 is greater than(-5x)^2.
    If x is a positive , then 5x ^2 is smaller than (-5x)^2
    If x is 0, then they are equal.

    That depends on the kind of integers are substituted for x.

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  9. NO. if x is 0, the whole sum will be equal to 0. so they can be equal and 5x square is not smaller then (-5x) square

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  10. No because if x is zero both of the numbers will be the same. If x is 1 both of the numbers can also be the same

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  12. X is 0 she said that it is always smaller than but if they represent x as 0, both would be 0 which would be equal not smaller

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  13. No because if x is zero both of the numbers will be the same. If x is 1 both of the numbers can also be the same

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  14. 5x^2 can be the same as (-5x)^2. When x = 0, 5(0)^2 is 0 and (-5(0))^2 is 0 as well.

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    Replies
    1. If x=1, both would be the same. So the number is not always smaller than the other.

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  15. no. it really depends. if x is 0 then the ans is all 0. if x is bigger than 0 then (-5x)^2 is bigger than 5x^2. if x is smaller than 0 the 5x^2 is bigger than (-5x)^2














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  16. yes. No matter what number is put in, the ans for 5x2 is always smaller

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  17. No.

    x*x*5 and -5*x(-5*x) are the simplified values.

    If we cancel them out, there is *x and *(-5)*x left, whereas *(-5)*x is bigger.

    Therefore, the answer is wrong.

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  18. 5x^2 will be smaller than (-5x)^2 if "x" is a positive number, but if "x" is a negative number, 5x^2 will be bigger than (-5x)^2. However' if "x" is 0, They will be the same.

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  19. If x = 0, the answer of the equation is equal. Therefore it is NOT ALWAYS smaller.


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