Question

x=(√2+√3)²+(1-√6)(1+√6) Aratati ca x < 5}
COROANA , repede!

Answer 1

Vom aplica câteva formule de calcul prescurtat si vom rezolva astfel: [tex]X=(\sqrt{2}+\sqrt{3})^2+(1- \sqrt{6} )(1+ \sqrt{6} )\\ X=\sqrt{2}^2+2*\sqrt{2}\sqrt{3}+\sqrt{3}^2+1^2-6^2\\ X=\sqrt{4}+2*\sqrt{2}*\sqrt{3}+\sqrt{9}+1-36\\ X=2+2\sqrt{6}+3+1-36\\ X=5+2\sqrt{6}-36\\ X=-21+2\sqrt{6}[/tex]. Adevărat,-21 este mai mic ca +5 deci =>x<5