Question

9x2-3x-2
$9x {}^{2} - 3x - 2 = 0$
quadratic equation

Answer 1

Answer :

$9 {x}^{2} - 3x - 2 = 0 \\ \\ write \: - 3x \: as \: a \: difference \\ \\ {9x}^{2} + 3x - 6x - 2 = 0 \\ \\ 3x \: and \: - 2 \: are \: common \: factors \\ \\ 3x(3x + 1) - 2(3x + 1) = 0 \\ \\ factor \: out \: 3x - 1 \: from \: the \: expression \\ \\ (3x + 1)(3x - 2) = 0 \\ \\ (3x + 1) = \frac{0}{(3x - 2)} \\ (3x + 1) = 0$

$Also \: if \: we \: take \: (3x - 2) \\ \\ then \\ \\ (3x - 2) = \frac{0}{(3x + 1)} \\ \\ (3x - 2) = 0 \\ \\ therefore \\ \\ \binom{3x + 1 = 0}{3x - 2 = 0} \\ \\ \binom{3x = - 1}{3x = 2} \\ \\ \binom{x = - \frac {1 }{3} }{x = \frac{2}{ 3} } \\ \\ final \: solutions \: are \: - \\ \\ {x}{1} = - \frac{1}{3} \\ {x}{2} = \frac{2}{3}$

Answer 2

Answer:

Answer :

Step-by-step explanation: