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Divide using any method 2x^2+5x+1 ÷ X+3​

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Question:

Solve the equation 2x2−5x+3=0 by the method of completing square.

Answer:

We have,

2x2−5x+3=0

⇒x2−25x+23=0 (Dividing throughough by 2)

⇒x2−25x=−23 (Shifting the constant term on RHS)

⇒x2−2(45)x+(45)2=(45)2−23 (Adding (21Coeff.ofx)2 onboth sides)

⇒(x−45)2=1625−23⇒(x−45)2=16

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