Question

Without finding the roots how comment on nature of equation

Answer 1

Answer:

Step-by-step explaniation:

By using b^2-4ac

Answer 2

Answer:

In the quadratic equation: ax² + bx + c, when the roots are not given. Then, we can comment on nature of equation by finding the Discriminant(D).

The formula to find Discriminant:

D = b² - 4ac

If the discriminant is greater than zero, then two distinct real roots exist.

If the discriminant is equal to zero, two equal and real roots exist.

If the discriminant is less than zero, no real roots exist.

So, a quadratic equation ax² + bx + c = 0 has:

• two distinct and real roots, if D>0,
• two equal real roots, if D = 0,
• no real roots, if D <0.