Question

Discuss the nature of roots of 9x²+5x=0​

Answer 1

Step-by-step explanation:

1. the roots are real and distinct

Answer 2

Given:

The quadratic equation is 9x²+5x=0

To find:

The nature of roots.

Solution:

The quadratic equation is 9x²+5x=0

To find the nature of the roots, we have to take the discriminant.

Discriminant (D) = b² – 4ac

• Discriminant (D)> zero, the roots are real and unequal.

• Discriminant (D) = zero,

The roots are real and equal.

• Discriminant (D)< zero, the roots are imaginary.

On comparing equation 9x²+5x =0 with ax² + bx - c =0,

⇒ a= 9, b= 5, and c= 0

Discriminant D = (-5)² – 4 (9 × 0)

D = 25

Discriminant  (D) > 0, the roots are real, unequal, and rational.