Question

1) If 2 (a²+ b2 ) = (a+b)2 then prove that a=b​

Answer 1

Answer:

Solution

2 (a²+b²) = (a+b)²

2a² + 2b² = a² + 2ab + b² ---------------------------- as (a + b)² = a² + 2ab + b²

2a² - a² + 2b² - b² – 2ab = 0

a² + b² – 2ab = 0

------------------------- as (a – b)² = a² – 2ab + b²

(a – b)² = 0

a – b = 0

a = b

Hence proved

Step-by-step explanation:

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