Question

Complete the table:

Sr. No. Values of a, b, c of quadratic equation Value of discriminant Nature of roots

a = 2, b = -5, c = 3 _______________ _______________

a = 1, b = 2, c = 9 _______________ _______________​

Answer 1

Answer:

1) b^2-4ac= (-5)^2-4(2)(3)= 25-24=1

nature of roots : two distinct real roots

2)b^2-4ac=(2)^2-4(1)(9)= 4-36= -32

so nature of roots: no real roots

Answer 2

D=1 real and distinct roots

D= -32 non-real and imaginary roots

Step-by-step explanation:

1. a = 2 ,b = -5 , c =3

D = b^2-4ac

=5^2-4×2×3

=25-24

=1 >0

D>0

roots are real and distinct

2. a = 1 , b = 2 , c = 3

D = 2^2 - 4 × 1 × 9

= 4 - 36

= - 32 <0

D<0

Roots are non -real and imaginary