The roots of a quadratic equation are \(\frac{4}{3}\) and -\(\frac{3}{7}\). Find the equation

Mathematics

WAEC 2016

A. 21x² - 19x - 12 = 0
B. 21x² + 37x - 12 = 0
C. 21x² - x + 12 = 0
D. 21x² + 7x - 4 = 0

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Correct Answer: Option A

Explanation

Let x = \(\frac{4}{3}\), x = -\(\frac{3}{7}\)

Then 3x = 4, 7x = -3

3x - 4 = 0, 7x + 3 = 0

(3x - 4)(7x + 3) = 0

21x² + 9x - 28x - 12 = 0

21x² - 19x - 12 = 0

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The roots of a quadratic equation are \(\frac{4}{3}\) and -\(\frac{3}{7}\). Find the equation

Correct Answer: Option A

Explanation

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