MATHEMATICS

JAMB 2000 - Question 22

Mathematics 2000 JAMB Past Questions - Question 22: If α and β are the roots of the equation 3x² + 5X -2 = 0

If α and β are the roots of the equation 3x² + 5X -2 = 0
A:
B:
C:
D:
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Correct Answer

D

Explanation

To find the roots α and β of the equation 3x² + 5x - 2 = 0, we can use the quadratic formula:x = (-b ± √(b² - 4ac)) / (2a)For the given equation, a = 3, b = 5, and c = -2. Substituting these values into the quadratic formula, we have:x = (-5 ± √(5² - 4 * 3 * -2)) / (2 * 3)x = (-5 ± √(25 + 24)) / 6x = (-5 ± √49) / 6x = (-5 ± 7) / 6So, the roots α and β are:α = (-5 + 7) / 6 = 2 / 6 = 1/3β = (-5 - 7) / 6 = -12 / 6 = -2Therefore, α = 1/3 and β = -2.