Question

write the discriminant & write nature of roots x^2-7x+2=0​

Answer 1

Answer :-

→ Discriminant = b² - 4ac

For the given equation :-

• a = 1
• b = -7
• c = 2

→ D = (-7)² - 4 × 1 × 2

→ D = 49 - 4 × 2

→ D = 49 - 8

→ D = 41

Here, we got the value of discriminant as positive and greater than 0. So, nature of roots of the quadratic equation are real and distinct.

Additional information :-

Nature of the roots of the quadratic expression.

1. If D > 0 then roots are real and different.

2. If D is a perfect square, then roots are rational and different.

3. If D = 0, then roots are real and equal.

4. If D < 0 then, roots are imaginary and unequal or complex conjugate.