Question

if (x-2) is a common factor of expressions x^2+ax+b and x^2+ cx+ d then b-d / c-a is​

Answer 1

Step-by-step explanation:

ANSWER

Given quadratic equations

x2−cx+d=0         ....(1)

Let α,β be the roots of equation (1) 

x2−ax+b=0         .....(2)

Let α,α be the roots of equation (2)

2α=a

α=2a

Also , α2=b

Since, α is a root of (1),

α2−cα+d=0

b+d=2ac

⇒2(b+d)=ac

Answer ByToppr