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Question

With respect to the roots of x22x3=0, we can say that



A

both of them are natural numbers

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B

both of them are integers

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C

one of the root is zero

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D

roots are not real

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Solution

The correct option is B

both of them are integers


 Step 1:-   For x22x3=0, value of discriminant
                 D=(2)24(3)(1)=4+12=16.

 Step 2:-  Since, D is a perfect square, roots are rational and unequal.

 Step 3:- Solving the equation,
x=(2)+(16)2 or (2)(16)2
x=3,1
Thus, both of them are integers.


Mathematics

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