solve (a) part of the following picture
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x² -2(a² + b²) + (a²-b²)² = 0
(x - y)² = (x + y)² - 4xy
=> x²-2(a² + b²) + (a² + b²)² - 4a²b² = 0
(x -y)² = x² - 2xy + y²
=> (x - (a² + b²))² - (2ab)² = 0
x² - y² = (x+y)(x - y)
=> (x - (a² + b²) + 2ab) ((x - (a² + b²) - 2ab) =
=> (x - (a² + b² - 2ab)) (x - (a² + b²+2ab)) = 0
=> (x - (a - b)²)(x - (a + b)²) = 0
=> x=
(a - b)², (a + b)²
Hope this helps
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Answer:
The roots of the equation_ x^2-2(a^2-b^)x +(a^2-b^)^2=0 are:
x = (a+b)^2 ,(a-b)^2.
Hope it helps you ◕‿◕
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