prove that 1=0
pls answer
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Method - 1
We know that, 0 = 0
or, 1 - 1 = 0 - 0
or, 1 (1 - 1) = 0.1 - 0.1
or, 1 (1 - 1) = 0 (1 - 1)
or, 1 = 0 , by cancelling (1 - 1) from both sides.
This is incorrect because we have divided both the sides by (1 - 1), i.e., by 0 and this results to an undefined result.
Method - 2
Let us take a = b
Multiplying both sides by a, we get
a² = ab
or, a² - b² = ab - b²
or, (a + b) (a - b) = b (a - b)
or, a + b = b , by cancelling (a - b)
or, a + a = a , since a = b
or, 2a = a
or, 2 = 1
or, 2 - 1 = 0
or, 1 = 0
This result is also incorrect as we have divided both sides by (a - b) and being a = b, both sides got divided by 0 giving an undefined result.
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