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Solve an Equation, Please Help:

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hrhgroup

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Please help me solving these problem:
 

wave-maniac

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Assuming a, b, c and d are real, this might be the proof:

1)
(a+d)^2+(b-c)^2>=0 => a^2+b^2+c^2+d^2+2(ad-bc)>=0 => 1+2(ad-bc)>=0 =>2(ad-bc)>=-1

2)
(a-d)^2+(b+c)^2>=0 => a^2+b^2+c^2+d^2-2(ad-bc)>=0 => 1-2(ad-bc)>=0 =>2(ad-bc)<=1

1&2 => -1<=2(ad-bc)<=1 => 0<=2|ad-bc|<=1

where a^2=a*a
 

    hrhgroup

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hrhgroup

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Thanks very much.
 

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