Bob
]]>For a lot of people, a proof is something that has human value. An arbitrary calculation is not a proof.
]]>Nice 'proof'. When applying a square root you have to remember that two roots are possible.
9 =9 but 3 ≠ -3
To check out any algebra just substitute some numbers to see what is happening.
I chose a = 5; b = 3 and so c = 8.
Here is your 'proof' with those numbers.
8 x 2 = 8 x 2
25 - 9 = 40 - 24
25 - 40 = 9 - 24
25 -40 + 32 = 9 - 24 + 32
(5-4)^2 = (3-4)^2
All so far is correct. But then we have the square root.
(5-4) ≠ (3-4)
But, back to the algebra, if we take a negative root:
a - c/2 = -b + c/2
a + b = c/2 + c/2 = c
Now it's correct but hasn't given anything new.
Bob
]]>Let us number the steps:
From (5) to (6), there is a fallacy.
The the step (5) does not necessarily equal (6).
Got it?
What went wrong?
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