CAT Quantitative Ability Questions | CAT Algebra questions
CAT/2003
Question . 130
The number of roots common between the two equations x³ + 3x² + 4x + 5 = 0 and x³ + 2x² + 7x + 3 = 0 is
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Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Algebra question
(a) Subtract the both equations, we get
x² - 3x + 2 = 0
(x - 1)(x - 2) = 0
=> x = 1, 2
Roots 1 and 2 do not satisfy any of the original equation.
In case there is a common root, it will be the root of the subtracted equation.
Therefore there is no common root between both the given equations.