Question

If 2 is a root of the equation a + ax + 2 = 0 and – x – b = 0 then find a/b.

Answer 1

Answer:

$\Large \text{a/b=1/3}$

Step-by-step explanation:

$\huge \text{Given p(x)= a + ax + 2 = 0}\\\\\\\huge \text{and q(x)=-x-b=0 also given root=2} \\ \\ \\\Large \text{putting x=2 in p(x)}\\\\\\\Large \text{p(2)=a+2a+2=0}\\\\\\\Large \text{a=-2/3} }\\\\\\\Large \text{now putting x=2 in q(x)}\\\\\\\Large \text{q(2)=-2-b=0}\\\\\\\Large \text{b=-2}\\\\\\\Large \text{we have to find value of a/b}\\\\\\\Large \text{a/b=-2/3/-2}\\\\\\\Large \text{a/b=1/3}\\\\\\\Large \text{Thus the value of a/b is \boxed{1/3}.}$