CBSE Class 11-science Answered
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
Asked by sandeepkumarbhadauria41 | 15 Sep, 2021, 02:52: PM
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
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