Brilli the smartest kid in a school, gives a proof to the Brilliant community stating that 0 = 1. At what step number does it become unequal?
Here is his proof:
Step 1: − 2 0 = − 2 0
Step 2: 1 6 − 3 6 = 2 5 − 4 5
Step 3: 4 2 − 4 × 9 = 5 2 − 5 × 9
Step 4: 4 2 − 4 × 9 + 4 8 1 = 5 2 − 5 × 9 + 4 8 1 {Just added it}
Step 5: 4 2 − 2 × 4 × 2 9 + ( 2 9 ) 2 = 5 2 − 2 × 5 × 2 9 + ( 2 9 ) 2
Step 6: ( 4 − 2 9 ) ( 4 − 2 9 ) = ( 5 − 2 9 ) ( 5 − 2 9 )
Step 7: ( 4 − 2 9 ) 2 = ( 5 − 2 9 ) 2
Step 8: 4 − 2 9 = 5 − 2 9
Step 9: 4 = 5
Step 10: ∴ 0 = 1
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When we take square root .we take absolute value or +-
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4 - 2 9 = - 2 1
5 - 2 9 = 2 1
While (- 2 1 )^2 = ( 2 1 )^2, - 2 1 does not equal 2 1