Question

Como se factoriza

URGENTE!!!

x^3+5x^2+3x=0

Answer 1

Respuesta:

$x1 = \frac{ - 5 + \sqrt{13} }{?2} \: \: \: x2 = \frac{ - 5 - \sqrt{13} }{2} \: \: \: x3 = 0$

Explicación paso a paso:

${x}^{3} + {5x}^{2} + 3x = 0 \\ x( {x}^{2} + 5x+ 3) = 0 \\ x = 0 \\ {x}^{2} + 5x + 3 = 0 \\ aplicar \: formula \: bhaskara \\ a = 1 \: \: b = 5 \: \: c = 3 \\ \frac{ - 5 \frac{ + }{} \sqrt{ {5}^{2} - 4 \times 1 \times 3 } }{2 \times 1} = \frac{ - 5 \frac{ + }{} \sqrt{25 - 12} }{2} = \frac{ - 5 \frac{ + }{} \sqrt{13} }{2} = \\ x1 = \frac{ - 5 + \sqrt{13} }{2} \\ x2 = \frac{ - 5 - \sqrt{13} }{2} \\ x3 = 0$