Question

if one root of quadratic equation ax^2+bx+c =0 is k times the other root then (k+1)^2/k=b^2/ac​

Answer 1

Step-by-step explanation:

Correct option is

C

3b

2

=16ac

ax

2

+bx+c=0

let one root beα

∴other root be 3α

sum=α+3α=4α=−

a

b

product=3α

2

=

a

c

α

2

=

3a

c

4α=−

a

b

∴α=−

4a

b

∴α

2

=

16a

2

b

2

or

3a

c

=

16a

2

b

2

16ac=3b

2