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ATQ, To determine the nature of the roots, use the discriminant formula: Δ=b^2− 4ac Given: a=3, b=6, c=−5 Calculate the discriminant: Δ=6^2 −4(3)(−5)=36+60=96 Since Δ >0, the roots are real and distinct. Answer: Option 3. The roots are real and distinct.
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