Question

verifique se x= raiz quadrada de 5 sao raizes da equação x²-(3+√5)x+3√5=0.

Answer 1

$x^2-(3+\sqrt5)x+3\sqrt5=0\rightarrow x=\sqrt5$

$(\sqrt5)^2-(3+\sqrt5)\cdot\sqrt5+3\sqrt5=0$

$5-3\sqrt5+5+3\sqrt5=0$

$5+5-3\sqrt5+3\sqrt5=0$

$5+5=0$

$10$ ≠ $0$