Question

Quais sao as raizes da equaçao 3x²+5x+2=0​

Answer 1

Explicação passo-a-passo:

$3 {x}^{2} + 5x + 2 = 0$

$x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a}$

$x = \frac{ - 5± \sqrt{ {5}^{2} - 4 \times 3 \times 2 } }{2 \times 3}$

$x = \frac{ - 5± \sqrt{ 25 - 24 } }{6}$

$x = \frac{ - 5± \sqrt{1} }{6}$ (√1)==> delta

$x = \frac{ - 5±1 }{6}$

$x' = \frac{ - 5 + 1}{6} = - \frac{4}{6} = - \frac{2}{3}$

$x'' = \frac{ - 5 - 1}{6} = - \frac{6}{6} = - 1$

$S = ( - \frac{2}{3} ; - 1)$