Question

08
If
ax'+boc tc =0 equal, then the
Value
the goots of
of
aaat ba +6=0​

Answer 1

Answer:

Correct option is

B

have negative real parts

Since, a,b,c>0 and ax

2

+bx+c=0 then,

⇒ x=

2a

−b

±

2a

b

2

−4ac

Case1: When b

2

−4ac>0

⇒ x=

2a

−b

−

2a

b

2

−4ac

and

2a

−b

+

2a

b

2

−4ac

both roots are negative.

Case2: Ehen b

2

−4ac=0

⇒ x=

2a

−b

i.e., both roots are equal and negative.

Case3: When b

2

−4ac<0

⇒ x=

2a

−b

±i

2a

4ac−b

2

have negative real part.

∴ From above discission both roots have negative real parts.