Question

28. What will be the roots of the equation 3x² + 7x + 5 = 0 ? a) Equal b) Irrational c) Rational d)None of these​

Answer 1

Answer:

The answer will be none of these

Step-by-step explanation:

3x² + 7x + 5 = 0

a=3;b=7;c=5

b2-4ac=7^2-4x3x5

           =49-60

           =-11

Since Determinant is negative, roots are unreal

So, none of these

Answer 2

Answer:

D. None of these

Step-by-step explanation:

We know that:

(i) two distinct and real roots if the discriminant b^2−4ac>0

(ii) equal real roots if b^2 −4ac=0

(iii) no real roots or imaginary roots if b^2−4ac<0

Here,a=3,b=7,c=5

So, our discriminant goes like this:

7² -4.3.5 = 49 - 60 = - 11

Which is lesser than 0. And this satisfies our third condition which says that the equation wouldn't have any real roots or it's going to be an imaginary root.

So, d is the correct option, none of these.