Question

If 2 is a root of the equation ax2 + ax + 2 = 0 and x2– x – b = 0 then find a/b.

Answer 1

Step-by-step explanation:

f(x) = 2

{as it's mentioned in the question 2 is the root of the equation }

(First we will find a from the equation ax2+ax+2=0)

f(2)=ax2+ax+2

(apply 2 instead of x as mentioned in the question 2 is root of the equation )

f(2)=ax2x2+ax2+2=0

f(2)=4a+2a+2=0

f(2)=6a+2=0

f(2)=6a-2=0

6a=-2

a=-2/6

ie a= -1/3

(from the equation x2-x-b=0 we can find the value of b)

f(x) =x2-x-b=0

f(2)=2x2-2-b=0

f(2)=4-2-b=0

f(2)=2-b=0

f(2) -b=-2

ie b=2