Ecuatii

Natalia Mar Mai 01, 2012 2:16 am

Buna seara! Am si eu 2 ecuatii nesuferite la care ma impotmolesc Smile

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$0.5(\frac{2x-\sqrt{2}}{\sqrt{3}})- \frac{2}{3}( \frac{\sqrt{2}-2x}{\sqrt{3}})=( \frac{\sqrt{3}}{\sqrt{2}(\sqrt{2}x - 1)})^{-1}+\frac{1}{5}$

$2(x^{2}-4)-0.2(4-x^{2})=3(2-x)(x+2)- (\frac{1}{4-x^{2}})^{-1}=$

Multumesc!!!!!! cheers

**Admin** Mar Mai 01, 2012 2:28 am

Problema 1

$\begin{gathered} 0.5 \times \left( {\frac{{2x - \sqrt 2 }}{{\sqrt 3 }}} \right) - \frac{2}{3} \times \left( {\frac{{\sqrt 2 - 2x}}{{\sqrt 3 }}} \right) = {\left( {\frac{{\sqrt 3 }}{{\sqrt 2 \left( {\sqrt 2 x - 1} \right)}}} \right)^{ - 1}} + \frac{1}{5} \hfill \\ \frac{{2x - \sqrt 2 }}{{2\sqrt 3 }} - \frac{{2\sqrt 2 - 4x}}{{3\sqrt 3 }} = \frac{{2x - \sqrt 2 }}{{\sqrt 3 }} + \frac{1}{5} \hfill \\ \frac{{14x - 7\sqrt 2 }}{6} = \frac{{10x - 5\sqrt 2 + \sqrt 3 }}{5} \hfill \\ \end{gathered}$
$\begin{gathered} 5\left( {14x - 7\sqrt 2 } \right) = 6\left( {10x - 5\sqrt 2 + \sqrt 3 } \right) \Leftrightarrow 70x - 35\sqrt 2 = 60x - 30\sqrt 2 + 6\sqrt 3 \hfill \\ 10x - 5\sqrt 2 = 6\sqrt 3 \Rightarrow x = \frac{{6\sqrt 3 + 5\sqrt 2 }}{{10}} \hfill \\ \end{gathered}$

**Admin** Mar Mai 01, 2012 2:33 am

Natalia a scris: Problema 2

$\begin{gathered} 2\left( {{x^2} - 4} \right) - 0.2\left( {4 - {x^2}} \right) = 3\left( {2 - x} \right)\left( {x + 2} \right) - {\left( {\frac{1}{{4 - {x^2}}}} \right)^{ - 1}} \hfill \\ 2\left( {{x^2} - 4} \right) + 0.2\left( {{x^2} - 4} \right) = - 3\left( {{x^2} - 4} \right) + {x^2} - 4 \hfill \\ 2.2\left( {{x^2} - 4} \right) = - 2\left( {{x^2} - 4} \right) \Rightarrow 4.2\left( {{x^2} - 4} \right) = 0 \Rightarrow x = \pm 2 \hfill \\ \end{gathered}$

Continut sponsorizat

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