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