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Question

Find the roots of the following quadratic equation by the method of completing the square.
4x2+43x+3=0


A

32 and32

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B

52 and52

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C

13 and13

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D

23 and23

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Solution

The correct option is A

32 and32


4x2+43x+3=0

(2x)2+2×2x×3+(3)2=0

(2x+3)2=0

(2x+3)(2x+3)=0

x=32 or x=32

Therefore, the given equation has equal roots.


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