If f(x) and g(x) be 2 distinct polynomials as follows: f(x)=x^2+ax+2 and g(x)=x^2+2x+a If the equations f(x)=0 and g(x)=0 - Maths - Mathematical Reasoning

Question

If f(x) and g(x) be 2 distinct polynomials as follows:
f(x)=x^2+ax+2 and g(x)=x^2+2x+a If the equations f(x)=0 and g(x)=0
have a common root then the sum of the roots of the equation
f(x)+g(x)=0 is: a -1/2 b 1/2 c 0 d 1

Neha Sethi · Accepted Answer

Dear student
fα=gα⇒α=1 or a=-2⇒a=2 or a=-3 Using a=-3 , f(x)+g(x)=0⇒ 2x2-x-1=0⇒sum of roots =12

Regards

If f(x) and g(x) be 2 distinct polynomials as follows: f(x)=x^2+ax+2 and g(x)=x^2+2x+a. If the equations f(x)=0 and g(x)=0 have a common root then the sum of the roots of the equation f(x)+g(x)=0 is: a.-1/2 b.1/2 c.0 d.1