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  • Disprove 3=2, please!?

    Anonymous Christian
    Sep 5, 2014
    MATH, Reason
    Comments Off on Disprove 3=2, please!?

    Question

    Can U disprove the following illustration?
    3=2 ??

    See this illustration:

    -6 = -6
    9-15 = 4-10

    adding 25/4 to both sides:
    9-15+(25/4) = 4-10+(25/4 )

    Changing the order
    9+(25/4)-15 = 4+(25/4)-10
    (this is just like : a square + b square – two a b = (a-b)square.)
    Here a = 3, b=5/2 for L.H.S and a =2, b=5/2 for R.H.S.

    So it can be expressed as follows:
    (3-5/2)** 2 = (2-5/2)** 2

    Taking positive square root on both sides:
    3 – 5/2 = 2 – 5/2

    Cancelling – 5/2 on both sides,

    3 = 2

    Answer

    From,
    (3-5/2)^ 2 = (2-5/2)^ 2

    The mistake is in
    “Taking positive square root on both sides”

    LHS = Left Hand Side
    RHS = Right Hand Side

    For we cannot simply take square roots.
    Look at LHS (3-5/2) is the POSITIVE root.
    On the RHS (2-5/2) is the NEGATIVE root.
    You made them “equal” to get the “wrong proof”.

    Actually, to take the roots note that
    (2-5/2)^ 2 = (5/2 – 2)^ 2
    So, If you wanted to take “positive root” then,
    its obviously (5/2 – 2).

    Thus comparing positive roots,
    3 – 5/2 = 5/2 – 2 which is a identity.

anonymous-christian

Jonathan Ramachandran is founder at AnonymousChristian.org which serves as a Christian Blog discussing the Greater Hope of Biblical Christian in Christ Alone. He is also an IMO (International Math Coach) and a featuring Guitarist for many bands.

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