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let the equations be x^2+x+2=0 and ax^2+bx+1=0 have atleast one common root then a+b equals to Expert Answer
Given equations are

x2 + x + 2 = 0   ...........................(1)

a x2 + b x + 1 = 0  ........................(2)

Roots of Eqn.(1) :- Roots of Eqn.(2)  :- if both equations have a common root , then  -b/(2a) = -1/2   or  b = a

Also if we substitute b =a in above expression, we get a = (1/2) after simplification

Hence we have , a = b = 1/2    or  a+b = 1
Answered by Thiyagarajan K | 20 Sep, 2021, 09:50: PM

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