Prove that 1=2 using a&b method
Answers
Answer:
Here's how it works:
Assume that we have two variables a and b, and that: a = b.
Multiply both sides by a to get: a = ab.
Subtract b from both sides to get: a - b = ab - b
(a + b)(a - b) = b(a - b)
Since (a - b) appears on both sides, we can cancel it to get: a + b = b.
Since a = b (that's the assumption we started with), we can substitute b in for a to get: b + b = b.
Combining the two terms on the left gives us: 2b = b
Since b appears on both sides, we can divide through by b to get: 2 = 1
And therefore, we proved 1=2 using a&b method.
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⟶ Assume that we have two variables a and b, and that: a = b.
⟶ Multiply both sides by a to get: a^2² = ab.
⟶ Subtract b^2² from both sides to get: a^2² - b^2²= ab - b^2²
⟶ (a + b)(a - b) = b(a - b)
⟶ Since (a - b) appears on both sides, we can cancel it to get: a + b = b.
⟶ Since a = b (that's the assumption we started with), we can substitute b in for a to get: b + b = b.
⟶ Combining the two terms on the left gives us: 2b = b
⟶ Since b appears on both sides, we can divide through by b to get: 2 = 1
And therefore, we proved 1=2 using a&b method.
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