Question

Encontre a soma das raízes da equação

| X |²+ 2. | X | - 5 = 0

Answer 1

| X |²+ 2* | X | - 5 = 0

X ²+ 2* | X | - 5 = 0

X ²+ 2x - 5=0     [x]\geq[0]

X ²+ 2*(-x)-5=0     x<0

$x=-1+\sqrt{6}     , [x]\geq[0]      \\x=-1-\sqrt{6}\\x=1+\sqrt{6} ,x<0\\x=1-\sqrt{6}$[/tex]x=-1+\sqrt{6}     , [x]\geq[0]      \\x=-1-\sqrt{6}\\x=1+\sqrt{6} ,x<0\\x=1-\sqrt{6}[/tex]

$x=[tex]x_{1} =x=1-\sqrt{6}\\x_{2} =-1+\sqrt{6}$ \\x=1-\sqrt{6} \\[/tex]