Q1 of 65 Page 10

In each of the following cases, let us justify & write whether the given values are the of the given quadratic equation:

and

We know that the roots of the quadratic equation satisfy the equation.

So, if -√3 and 2√3 are the roots of


then they must satisfy the equation.


Therefore, putting -√3 in the equation we have


= -√32-√3 × (-√3)-6 = 3 + 3-6 = 6-6 = 0


So, it is a root of the equation.


Putting 2√3 in the equation we have


= (2√3)2-√3 × (2√3)-6 = 12-6-6 = 12-12 = 0


So, it is also a root of the equation.


Hence, -√3 and 2√3 are the roots of the equation.


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In each of the following cases, let us justify & write whether the given values are the of the given quadratic equation:

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