carreongenesis07 carreongenesis07
  • 13-02-2020
  • Mathematics
contestada

How do you solve this

How do you solve this class=

Respuesta :

Leora03
Leora03 Leora03
  • 13-02-2020

Answer:

x=-2

Step-by-step explanation:

[tex] \frac{1}{6{x}^{2} } = \frac{1}{2x} + \frac{7}{6 {x}^{2} } \\ \frac{7}{6 {x}^{2} } - \frac{1}{6{x}^{2} } + \frac{1}{2 {x} } = 0 \: \: \: \: \: ( - \frac{1}{6 {x}^{2} } \: throughout) \\ \frac{6}{6 {x}^{2} } + \frac{1}{2x} = 0 \: \: \: \: \: (simplify)\\ \frac{1}{ {x}^{2} } + \frac{1}{2x} = 0 \\ \frac{2 {x}^{2} }{ {x}^{2} } + \frac{2 {x}^{2} }{2x} = 0 \: \: \: \: \: ( \times 2 {x}^{2} \: throughout) \\ 2 + x = 0 \: \: \: \: \: (simplify)\\ x = - 2[/tex]

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