Question

If one root of
$p {x}^{2} + qx + r = 0$
is three times to the second root then
$3 {q}^{2} = ?$
​

Answer 1

Answer:

let α,β be roots of given eq

n

then

(α+β)=(−q/p) & αβ=(r/p),(α=3β)

⇒4β=−q/p⇒16β

2

=q

2

/p

2

...(1)

& 3β

2

=r/p⇒β

2

=(

3p

r

)...(2)

from (1) & (2) 16(

3p

r

)=

p

2

q

2

⇒

3q

2

=16pr

solution

How satisfied are you with the answer?

This will help us to improve better

ASK

Get Instant Solutions, 24x7

No Signup required

girl

Solved Examples

EASY

MEDIUM

HARD

Step-by-step explanation:

If one root of

$p {x}^{2} + qx + r = 0$

is three times to the second root then

$3 {q}^{2} = ?$