Question

7 ff &, B are the roots of x² qx + 3=0
the roots of x² qx + 3=0 then 2 B + dB² (6)
d)
A) — b) = Clo
1+5l​

Answer 1

Answer:

Step-by-step explanation:

Let α,β are the roots of x2+bx+c=0

Then, α+β=−b and αβ=c

Let A,B are the roots of x2+qx+r=0

Then, A+B=−q and AB=r

We are given,

αβ=AB→(1)

⇒βα=BA→(2)

Adding (1) and (2),

αβ+βα=AB+BA

⇒α2+β2αβ=A2+B2AB

⇒(α+β)2−2αβαβ=(A+B)2−2ABAB

⇒b2−2cc=q2−2rr

⇒b2r−2cr=q2c−2cr

⇒b2r=q2c

So, option C is the correct option.

Answer 2

Answer:

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