Question

rezolvati ecuatia(x-√3)la2=(2√3-4)la2

Answer 1

Răspuns:

$(x-\sqrt{3}) ^{2} =(2\sqrt{3}-4 )^{2}$

-se separa ecuatia in doua cazuri posibile;

$\left \{ {{x-\sqrt{3}=\sqrt{(2\sqrt{3}-4 )^{2} } } \atop {x-\sqrt{3}=-\sqrt{(2\sqrt{3}-4 )^{2} } }} \right. \\\left \{ {{x-\sqrt{3}=4-2\sqrt{3} } \atop {x-\sqrt{3} =-(4-2\sqrt{3} )}} \right. \\\\\left \{{{x=4-\sqrt{3} } \atop {x=-4+3\sqrt{3} }} \right.$