Sistem de ecuatii

Lauryca Lun Iun 04, 2012 8:58 pm

Rezolvati sistemul: $\left\{ \begin{array}{l} {x^y} = 2\\ {\left( {2x} \right)^{{y^2}}} = 64 \end{array} \right.$

**Admin** Mar Iun 05, 2012 2:06 am

$\left\{ {\begin{array}{*{20}{l}} {{x^y} = 2 \Rightarrow x = \sqrt[y]{2}}\\ {{{\left( {2x} \right)}^{{y^2}}} = 64 \Rightarrow {{\left( {2\sqrt[y]{2}} \right)}^{{y^2}}} \Leftrightarrow {{\left( {2 \times {2^{\frac{1}{y}}}} \right)}^{{y^2}}} = {2^{{y^2}}} \times {2^y} = {2^6} \Rightarrow {y^2} + y = 6 \Rightarrow {y_{1,2}} = \left\{ { - 3,2} \right\} \Rightarrow x = ...} \end{array}} \right.$
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Sistem de ecuatii

Sistem de ecuatii

Re: Sistem de ecuatii