Question

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

Answer 1

Hello Dear Shreya I have answer your Question.

Answer 2

given:

x²+ax+b=0

x²+cx+d=0

X=2 is a common root for both the equations

now,
x²+ax+b=x²+cx+d

substituting the value of X

4+2a+b= 4+2c+d

2a+b=2c+d

b-d= 2c-2a

b-d=2(c-a)

★b-d/c-a= 2★

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hope it helps!