anonymous
  • anonymous
Solve the rational equation. 3/x+1/x - 5=1/2x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[\Large \frac3x+\frac1x-5=\frac12x\] do you mean this??
anonymous
  • anonymous
\[\Large \frac{3+1}{x}-\frac{5x}{x}=\frac x2 \Longrightarrow \frac{4-5x}{x}=\frac x2\]
anonymous
  • anonymous
then use cross multiplication ....

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anonymous
  • anonymous
\[\Large 2\cdot(4-5x)=x^2 \Longrightarrow 8-10x=x^2\] \[\Large \boxed{ x^2+10x-8=0 }\]
anonymous
  • anonymous
Now use quadratic formula... \[\LARGE x_{1/2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\]
anonymous
  • anonymous
can you continue or would you like me to finish it ?? :D
anonymous
  • anonymous
@rosa15baez do you understand it ?
anonymous
  • anonymous
yea could you finish it
anonymous
  • anonymous
with pleasure ..
anonymous
  • anonymous
substitute ...\[\Large x_{1/2}\frac{-10\pm\sqrt{10^2-4\cdot 1\cdot (-8)}}{2\cdot 1}\] multiply/simplify ...\[\Large x_{1/2}\frac{-10\pm \sqrt{132}}{2} \] from here you get...\[\Large x_1=\frac{-10 + \sqrt{132}}{2} \quad ,\quad x_2=\frac{-10 - \sqrt{132}}{2}\]
anonymous
  • anonymous
that's it... if you want to calculate it , use calculator, It seems they're not integers

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