The roots of a quadratic equation are frac 4 3 ... - WAEC Mathematics 2016 Question
The roots of a quadratic equation are (\frac{4}{3}) and -(\frac{3}{7}). Find the equation
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 Option: A
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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