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
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