Question

Find the equation that formed by each root of x2 – x – 1 = 0 is multiplied by 3.​

Answer 1

hghvgh cfhxh

Explanation:

let p,q be roots of equation ax

2

+bx+c=0

So p+q=(−

a

b

) and pq=c/a

⇒b=−a(p+q),c=apq

New equation is x

2

+36x+24=0 and roots are 2p,2q

So 2p+2q=−36

⇒p+q=−18

2p×2q=24

⇒pq=6

Then, value of bc is [−a(p+q)][apq]=−a(−18)a6=108a

2