How i find the roots of quadratic equation by completing the square method, because it is very important question of class10th math. I want the solution of this question, please help me for this solution Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2×2 – 7x +3 = 0

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# Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2×2 – 7x +3 = 0 Q.1(1)

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⇒ 2

x^{2}– 7x= – 3Dividing by 2 on both sides, we get

⇒ x

^{2}-7x/2 = -3/2⇒ x

^{2 }-2 × x ×7/4 = -3/2On adding (7/4)

^{2}to both sides of equation, we get⇒ (x)

^{2}-2×x×7/4 +(7/4)^{2}= (7/4)^{2}-3/2⇒ (x-7/4)

^{2}= (49/16) – (3/2)⇒(x-7/4)

^{2 }= 25/16⇒(x-7/4)

^{2}= ±5/4⇒

x= 7/4 ± 5/4⇒

x= 7/4 + 5/4 or x = 7/4 – 5/4⇒ x = 12/4 or x = 2/4

⇒ x = 3 or x = 1/2