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Find the Roots of the Following Quadratic Equations (If They Exist) by the Method of Completing the Square. `Sqrt2x^2-3x-2sqrt2=0` - Mathematics

Find the roots of the following quadratic equations (if they exist) by the method of completing the square.


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We have been given that,


Now divide throughout by `sqrt2`. We get,


Now take the constant term to the RHS and we get


Now add square of half of co-efficient of ‘x’ on both the sides. We have,




Since RHS is a positive number, therefore the roots of the equation exist.

So, now take the square root on both the sides and we get



Now, we have the values of ‘x’ as



Also we have,



Therefore the roots of the equation are `2sqrt2` and `-1/sqrt2`.

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RD Sharma Class 10 Maths
Chapter 4 Quadratic Equations
Exercise 4.4 | Q 7 | Page 26
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