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Question

Solve the following equation for x:
9x29(a+b)x+(2a2+5ab+2b2)=0.

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Solution

Using dhavachrvy formula
x=a(a+b)±81(a2+b2+2ab)36(2a2+5ab+2b2)18
=a(a+b)±9a2+ab218ab18
=a(a+b)+3a3b18;a(a+b)3a+3b18
=2ab3;2ba3 all the same

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