Respuestas
Respuesta dada por:
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Respuesta dada por:
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▪Enunciado
![\boxed{6 {x}^{2} + \frac{5}{2} x + \frac{1}{4} = 0} \boxed{6 {x}^{2} + \frac{5}{2} x + \frac{1}{4} = 0}](https://tex.z-dn.net/?f=+%5Cboxed%7B6+%7Bx%7D%5E%7B2%7D++%2B++%5Cfrac%7B5%7D%7B2%7D+x+%2B++%5Cfrac%7B1%7D%7B4%7D++%3D+0%7D)
▪Procedimiento
![6 {x}^{2} + \frac{5}{2} x + \frac{1}{4} = 0 \: \: \: \: \: (8) \\ \\ (8)6{x}^{2} + ( 8) \frac{5}{2} x + (8) \frac{1}{4} = (8)0 \\ \\ 48 {x}^{2} + 20x + 2 = 0 \\ \\ (6x + 1)(8x + 2) 6 {x}^{2} + \frac{5}{2} x + \frac{1}{4} = 0 \: \: \: \: \: (8) \\ \\ (8)6{x}^{2} + ( 8) \frac{5}{2} x + (8) \frac{1}{4} = (8)0 \\ \\ 48 {x}^{2} + 20x + 2 = 0 \\ \\ (6x + 1)(8x + 2)](https://tex.z-dn.net/?f=6+%7Bx%7D%5E%7B2%7D++%2B++%5Cfrac%7B5%7D%7B2%7D+x+%2B++%5Cfrac%7B1%7D%7B4%7D++%3D+0+%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A+%288%29+%5C%5C++%5C%5C+%288%296%7Bx%7D%5E%7B2%7D+++%2B+%28+8%29+%5Cfrac%7B5%7D%7B2%7D+x+%2B+%288%29+%5Cfrac%7B1%7D%7B4%7D++%3D+%288%290+%5C%5C++%5C%5C+48+%7Bx%7D%5E%7B2%7D++%2B+20x+%2B+2+%3D+0+%5C%5C++%5C%5C+%286x+%2B+1%29%288x+%2B+2%29)
° Dos posibles soluciones:
![x _{1} \begin{cases}6x + 1 = 0 \\ 6x = - 1 \\ \boxed{ \boxed{x = - \frac{1}{6} }} \end{cases} \\ \\ x _{2} \begin{cases} 8x + 2 = 0 \\ 8x = - 2 \\ x = - \frac{2}{8} \\ \boxed{ \boxed{ x = - \frac{1}{4} }} \end{cases} x _{1} \begin{cases}6x + 1 = 0 \\ 6x = - 1 \\ \boxed{ \boxed{x = - \frac{1}{6} }} \end{cases} \\ \\ x _{2} \begin{cases} 8x + 2 = 0 \\ 8x = - 2 \\ x = - \frac{2}{8} \\ \boxed{ \boxed{ x = - \frac{1}{4} }} \end{cases}](https://tex.z-dn.net/?f=x++_%7B1%7D+%5Cbegin%7Bcases%7D6x+%2B+1+%3D+0+%5C%5C+6x+%3D++-+1+%5C%5C++%5Cboxed%7B+%5Cboxed%7Bx+%3D++-++%5Cfrac%7B1%7D%7B6%7D+%7D%7D+%5Cend%7Bcases%7D+%5C%5C++%5C%5C+x++_%7B2%7D+%5Cbegin%7Bcases%7D+8x+%2B+2+%3D+0+%5C%5C+8x+%3D++-+2+%5C%5C+x+%3D++-++%5Cfrac%7B2%7D%7B8%7D++%5C%5C+%5Cboxed%7B+%5Cboxed%7B+x+%3D++-++%5Cfrac%7B1%7D%7B4%7D+%7D%7D+%5Cend%7Bcases%7D)
▪Procedimiento
° Dos posibles soluciones:
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