solve the equation : 4x^2 -4a^2x + (a^4 -b^4)=0
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4x^2-4a^2x+a^4-b^4=0
=>(2x-a^2)^2-(b^2)^2=0
=>(2x-a^2-b^2)(2x-a^2+b^2)=0
=> x=(a^2+b^2)/2, (a^2-b^2)/2
=>(2x-a^2)^2-(b^2)^2=0
=>(2x-a^2-b^2)(2x-a^2+b^2)=0
=> x=(a^2+b^2)/2, (a^2-b^2)/2
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