Question

realizar la inecuacion 5x²+13x>6 encontrando el intervalo y graficarlo

Answer 1

$5x {}^{2} + 13x - 6 > 0 \\ \\ \frac{ - 13 + - \sqrt{169 + 120} }{10} \\ \\ \frac{ - 13 \sqrt{289} }{10} \\ \\ x1 = \frac{ - 13 + 17}{10} \: \: \: = \frac{4}{10} \: = \frac{2}{5} \\ \\ x2 = - \frac{ - 13 - 17}{10} = \frac{ - 30}{10} = - 3$
entonces X€<-∞;-3>U<2/5;+∞>