There are 2 equations \(x^2+ax+c\) and \(x^2+bx +a\) which have a common root. What is the value of (a+b)?
Note: I am not too sure of whether the question was value of a+b or max value of a+b but the question was either of these 2.I dont have the answer options as well.This appeared in one of the aptitude papers and I got entangled in this question so wanted to know how to approach this
The approach to this type of questions depends upon basically two parts.
Sum of roots of the equation and product of the roots of a quadratic equation.
ax^2+bx+c=0 this equation has two roots R and Y.
Sum of roots is given (R+Y) = -b/a
Product of roots is given (R.Y)= c/a
You can write both the equation in this format and try to find a relation between a and b.
+1 Kudos if you like my post.
I know this formula , so accordingly for the 1st eqn if a1 and a2 are roots and b1 &b2 for 2nd eqn so :
now if one of the common root is x=a2=b2
I am not sure how to proceed after this ,, is there a way we can find out what x is and values of c and a as well?? i remember all the options were numerical values. two of which i remember was -1 and 1
Help with Kudos if I add to your knowledge realm.