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Question

Solve the quadratic equation : 4x24a2x+(a4b4)=0

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Solution

4x24a2x+(a4b4)=0
4x24a2x+a4=b4
(2xa2)2=b4
2xa2=±b2
2x=a2±b2
Roots of given quadratic equation are:

x1=a2+b22, x2=a2b22

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