Question

if the roots of the equation ax2+2bx+c=0 are real and distinct then show that the roots of the equation x2+2(a+b)x+a2+b2+c2=0 are non-real and complex numbers​

Answer 1

Answer:

for eq

n

to be have equal roots D≥0

⇒(2b)

2

−4ac≥0⇒

b

2

>ac

& (2

ac

)

2

−4(b)(b)≥0⇒

ac≥b

2

for roots to be simultaneously equal

b

2

=ac