Question

verificati daca numerele -2√5,1,√5, 0 sunt solutii ale ecuatiei √5x+1=x+√5.

Answer 1

$\sqrt{5}x+1=x+ \sqrt{5} \\ \sqrt{5}x-x=\sqrt{5}-1 \\ (\sqrt{5}-1)x=\sqrt{5}-1 \\ x=\frac{\sqrt{5}-1}{\sqrt{5}-1} \\ x=1$
S={1}