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Question

The roots of the equation 3x22x6=0 are

A
both negative.
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B
imaginary roots.
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C
both positive.
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D
both of opposite signs.
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Solution

The correct option is D both of opposite signs.
The given equation is 3x22x6=0.
For a quadratic equation ax2+bx+c=0, if ac<0 then the roots are of opposite signs.

Here ac=18
18<0
The roots are of opposite signs

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