Answer-What is the nature of the roots of 3x² + 6x – 5 = 0 ?

ATQ, To determine the nature of the roots, use the discriminant formula b2 4ac Given a3, b6, c5 Calculate the discriminant 62 435366096 Since 0, the roots are real and distinct. Answer Option 3. The roots are real and distinct.

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What is the nature of the roots of 3x² + 6x – 5 = 0 ?

Question

What is the nature of the roots of 3x² + 6x – 5 = 0

A There are no real roots. Correct Answer Incorrect Answer

B The roots are real and equal. Correct Answer Incorrect Answer

C The roots are real and distinct. Correct Answer Incorrect Answer

D The roots are real and more than 2. Correct Answer Incorrect Answer

Solution

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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