CMA Foundation · Fundamentals of Business Mathematics and Statistics · Quadratic Equations
The sum of the roots of 2x^2 - 11x + 14 = 0 is S and the larger root is L. What is the value of S + L?
The roots are 2 and 3.5, found by factorising 2x^2-11x+14 as (x-2)(2x-7). Their sum is 5.5 and the larger root is 3.5, so S plus L equals 9.
- A10.5Correct
- B9
- C12.5
- D7
Explanation
Factorise: 2x^2 - 4x - 7x + 14 = (x-2)(2x-7)=0, so roots are 2 and 3.5. Sum S = 11/2 = 5.5 (check 2+3.5=5.5). L = 3.5. S + L = 9. Correction: 5.5+3.5 = 9, so the answer is 9.
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