Question

If one root of the equation ^2+4+= 0 is three times the other, then find the value of (3^2/).
Pls answer....

Answer 1

Step-by-step explanation:

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