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Question

Find the roots of the following quadratic equation, by the method of completing the square:
2x2+x4=0

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Solution

2x2+x4=0
2x2+x=4
On dividing both sides of the equation by 2, we get;
x2+x2=2
On adding (14)2 to both sides of the equation, we get
(x)2+2×x×14+(14)2=2+(14)2(x+14)2=3316x+14=±334
x = ±33414
x = ±3314
x= 3314 or x=3314

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