Question

Aflati numerele rationale a si b, daca a(√2+√3)+b (√2-√3)=√18+√2 .
dau corona!

Answer 1

Dupa ce dam drumul la paranteze se obtine[tex]\sqrt2(a+b)+\sqrt3(a-b)=2\sqrt3+\sqrt2, deci \\ \left \{ {{a-b=2} \atop {a+b=1}} \right.(+), 2a=3,a=\frac{3}{2}\\ b=1-a=\frac{-1}{2}\\ \sqrt18=2\sqrt3[/tex]