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Given equation
4x2+3x+5=0
Dividing by 4
44x2+43x+45=0
x2+43x+45=0
We know that
(a+b)2=a2+2ab+b2
Here a=x
2ab=43x
2b=43
b=83
Adding and subtracting (83)2
x2+43x+45+(83)2−(83)2=0
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