Question
Quantitative Aptitude Question on Algebra
α and β are the roots of the equation x2+9x+18=0, where α>β. Then for the equation x2-ax+b=0 with its roots as (α+β) and (-3α), find the value of (a+b).
A
0
B
-81
C
189
D
63
Answer
-81
Explanation
Solution
α = -3, β = -6
⇒ (α+β) = -9 , (-3α) = 9
⇒ a = 0, b = -81
⇒ (a+b) = -81
So, the correct option is (B): -81.