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B
both of opposite signs.
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C
imaginary roots.
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D
both positive.
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Solution
The correct option is B both of opposite signs. The given equation is 3x2−2x−6=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