Quadratic Equation : CAT 2016 Preparation Questions
Question 4 the day : April 15, 2003
The question for the day is from the topic Algebra. It is about finding a root of a quadratic, given the equation and another root.
Question If one of the roots of the quadratic equation 2x^{2}  7x + q = 0 is 3, find the other root
(1) 3
(2) 1/2
(3) 1/2
(4) 1/4
Correct Choice is (3) and Correct Answer is 1/2
Explanatory Answer
Substituting x = 3 in the given equation we get
2(3^{2})  7 (3) + q = 0. Therefore, q = 3
Now, the given equation becomes 2x^{2}  7x + 3 = 0
By solving this we get (x  3) (2x  1) = 0
i.e., x = 3 & 1/2. The second root is 1/2.
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