Explicație pas cu pas:
[tex]$\mathbf{a) \: x( \sqrt{48} - \sqrt{12} ) + x(2 \sqrt{75} - \sqrt{108} ) = \sqrt{432} + 3 \sqrt{12} }$[/tex]
[tex]$\mathbf{ x(4 \sqrt{3} - 2 \sqrt{3} ) + x(10 \sqrt{3} - 6 \sqrt{3} ) = 12 \sqrt{3} + 6 \sqrt{3} }$[/tex]
[tex]$\mathbf{x \times 2 \sqrt{3} + x \times 4 \sqrt{3} = 18 \sqrt{3} }$[/tex]
[tex]$\mathbf{(1 + 2) \times 2 \sqrt{3}x = 18 \sqrt{3} }$[/tex]
[tex]$\mathbf{3 \times 2 \sqrt{3}x = 18 \sqrt{3} \Longleftrightarrow \: 6 \sqrt{3} x = 18 \sqrt{3} }$[/tex]
[tex]$\mathbf{x = 18 \sqrt{3} \div (6 \sqrt{3}) = 3 }$[/tex]
[tex]$\mathbf {b)4x( \sqrt{24} - \sqrt{12} ) - 2x(4 \sqrt{6} - 4 \sqrt{3}) = 32 \sqrt{3} }$[/tex]
[tex]$\mathbf{8 \sqrt{6} x - 8 \sqrt{3}x - 8 \sqrt{6}x + 8 \sqrt{3}x = 32 \sqrt{3} }$[/tex]
[tex]$\mathbf{0 + 0 = 32 \sqrt{3} }$[/tex]
[tex]$\mathbf{0 = 32 \sqrt{3} }$[/tex]
[tex]$\mathbf{x \: € \:\varnothing \: (multime \: vida)}$[/tex]
Bafta!
