[tex]\red{\bf \underline{ \: a = 50 \: } }[/tex]
Explicație pas cu pas:
a = (2 + 4 + 6 + .....+ 100) - 50
[tex] \bf \: a = (2 + 4 + 6 + ...+ 100) - 50[/tex]
[tex] \bf \: a = 2 \cdot \: (1 + 2+ 3 + ...+ 50) - 50[/tex]
[tex]\bf \: a = 2 \cdot \: [(1 + 50) \cdot50:2 ] - 50[/tex]
[tex]\bf \: a = 2 \cdot \: 51 \cdot50:2 - 50[/tex]
[tex]\bf \: a = 51 \cdot50 - 50[/tex]
[tex]\bf \: a = 50 \cdot(51 - 1)[/tex]
[tex]\bf \: a = 50 \cdot50[/tex]
[tex] \purple{\bf \: a = 50^{2} }[/tex]
[tex] \bf \sqrt{a} = \sqrt{50^{2}} \implies \red{ \underline{ \: a = 50 \: } }[/tex]
