Linear and Quadratic Equations

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Knowledge about the product and sum of the roots is important to solve this one!!

Sum and product of the roots

    Sum of the roots of a quadratic equation is 5 less than the product of the roots. If one root is 1 more than the other root, find the product of the roots?
    1. 6 or 3
    2. 12 or 2
    3. 8 or 4
    4. 12 or 4

 

  • Correct Answer
    Choice B. 12 or 2

Detailed Solution

Sum of the roots = (product of the roots) – 5
Let and be the two roots


Therefore,




Solving, we get = 3 or -2
Therefore, = 4 or -1


Hence product of the two roots is either 12 or 2.



Correct Answer: 12 or 2



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Solving equations well is an integral part to cracking any competitive exam. Get cartloads of practice on these two topics.