Question

#2: Ifa and B are the roots of ax2 + bx + c = 0, find the equation whose roots are a+2 and B+2.​

Answer 1

Answer:

α,β are the roots of ⇒ax2+bx+c=0

Then, a(α)2+b(α)+c=0

Now, α+2=x

Hence, α=x−2

Thus, replace α by x−2 in the given equation,

Required equation is

a(x−2)2+b(x−2)+c=0

⇒a(x2−4x+4)+bx−2b+c=0

⇒ax2+(b−4a)x+(4a−2b+c)=0

⇒ax2+x(b−4a)+4a−2b+c=0