CMA Foundation · Fundamentals of Business Mathematics and Statistics · Quadratic Equations
A quadratic equation 2x² − 7x + 3 = 0 is solved by the quadratic formula. What is the larger root?
The larger root is 3. The discriminant is 49 − 24 = 25, with square root 5, so x = (7 ± 5)/4, which gives 3 and 1/2. The larger of these is 3.
- A3Correct
- B3/2
- C1/2
- D−3
Explanation
Discriminant = 49 − 24 = 25, so the square root is 5. x = (7 ± 5)/4, giving 3 or 1/2. The larger root is 3. Check: 2(9) − 21 + 3 = 0. The option 3/2 comes from dividing by 8 instead of 4.
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