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Q.

What will be the solution of the quadratic equation Question Image?


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is C.

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Detailed Solution

The Quadratic equation is Question Image First, we will modify the given equation by making the coefficient as Question Imageas 1. Therefore dividing the whole equation by 2. we get,
Question ImageNow we will add Question Imageto both sides of the equation to get a perfect square term on one side of the equation. Therefore, we get
Question ImageWe can write the above equation as
Question ImageBy using the algebraic identityQuestion Image. we get
Question ImageNow we will take the square root on the right-hand side of the equation
Therefore, we get
Question ImageWe can write the value of x as
Question ImageHence, the quadratic equation is solved by completing the square.
 
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