Question

5. By factorisation method, the
roots of the quadratic equation,
3x2 -22% -16 = 0 are
*
O 2/3 and 8
O
2/3 and -8
O - 2/3 and 8
O -2/3 and -8​

Answer 1

$3 {x}^{2} - 22x - 16 = 0 \\ = 3 {x}^{2} - 24x + 2x - 16 = 0 \\ = 3x(x - 8) + 2(x - 8) = 0 \\ = (x - 8)(3x + 2) = 0 \\ \\ x = 8 \: \: \: and \: \: \: \frac{ - 2}{3}$

Therefore 3rd option is correct.