Find the quadratic equation whose roots are 3 and \(\frac{2}{3}\).
A
x2 - 11 / 3x + 6 = 0
B
x2 - 11x + 6 = O
C
3x2 - 11x + 2 = O
D
3X2 - 11x – 2 = 0
E
3x2 - 11x + 6 = 0
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
x = 3; x = \(\frac{2}{3}\).
(x - 3)(x - \(\frac{2}{3}\)) = 0
\(x^2 - \frac{2x}{3} - 3x + 2 = 0\)
\(x^2 - \frac{11x}{3} + 2 = 0\)
\(3x^2 - 11x + 6 = 0\)
Source: Myschool Past Questions Archive (Record #23498)