Question

ayuda por metodo de completar cuadrado 2x^2-5x-3=0

Answer 1

Respuesta:

x= +3 , x = - 2/4 = - 1/2

Explicación paso a paso:

$2x^{2} -5x-3=0 \\2x^{2} -5x=3\\\frac{2}{2} x^{2}-\frac{5}{2}x=\frac{3}{2}\\ x^{2}-\frac{5}{2}x=\frac{3}{2}\\(\frac{5}{2.2})^2=\frac{25}{16} \\x^{2}-\frac{5}{2}x+\frac{25}{16} =\frac{3}{2}+\frac{25}{16} \\(x-\frac{5}{4})^2 = \frac{24+25}{16} \\\(x-\frac{5}{4})^2 = \frac{49}{16}\\\\\sqrt{(x-\frac{5}{4}})^2=\frac{49}{16} \\\\x-\frac{5}{4} =\frac{7}{4} \\x = \frac{+}{-} \frac{7}{4} +\frac{5}{4} \\x = +\frac{7}{4} +\frac{5}{4}=\frac{12}{4} = 3\\x = -\frac{7}{4} +\frac{5}{4}=-\frac{2}{4}$