Question

EQUAÇÕES DO 2 GRAU!
A) (X+5)^2 = 4 B) (X-3)^2 =16 C) (X+2)^2 = 0

Answer 1

Olá,

Resolução:

$a) (x+5)^2 = 4 \\ \\ x + 5 = \pm \sqrt{4} \\ \\ x + 5 = \pm2 \\ \\ x = -5\pm2 \\ \\ \\ x' = -5+2 ==\ \textgreater \ x' = -3 \\ x'' = -5-2==\ \textgreater \ x'' = -7 \\ \\ S = \left \{ \right-7,-3 \}$


$b) (x-3)^2 =16 \\ \\ x-3=\pm \sqrt{16} \\ \\ x-3=\pm4 \\ \\ x = 3\pm4 \\ \\ \\ x' = 3+4==\ \textgreater \ x'=7 \\x''=3-4==\ \textgreater \ x''=-1 \\ \\ S=\left \{ \right-1,7 \}$


$c) (x+2)^2 = 0 \\ \\ x +2 = \pm \sqrt{0} \\ \\ x+2=\pm0 \\ \\ x =-2\pm0 \\ \\ \\ x'=-2+0==\ \textgreater \ x'=-2 \\ \\ x''=-2-0==\ \textgreater \ x''=-2 \\ \\S= \left \{ \right-2 \}$

Bons Estudos!!