Question

eqasao de segundo grau incompleta 2 x²-256=0=

Answer 1

$2 {x}^{2} - 25 6 = 0 \\ 2 {x}^{2} = 256 \\ {x}^{2} = \frac{256}{2} \\ {x}^{2} = 128 \\ x = \sqrt{128} = 8\sqrt{2} \: ou \: x = - \sqrt{128} = - 8 \sqrt{2}$

Answer 2

2x² - 256 = 0

2x² = 256

x² = 256 ÷ 2

x² = 128

x = + - √128

Para achar a raiz, vamos fatorar o número

128 |2

64 |2

32 |2

16 |2

8 |2

4 |2

2 |2

1

2 . 2 . 2 . 2 . 2 . 2 . 2

2² . 2² . 2² . 2

4² . 2² . 2

8² . 2

$\mathtt{\sqrt{128}~~=~~\sqrt{8^2~.~2}~~=~~8\sqrt{2}} \\ \\ \\ \mathtt{-\sqrt{128}~~=~~-\sqrt{8^2~.~2}~~=~~-8\sqrt{2}} \\ \\ \\ \boxed{\boxed{\mathtt{Resposta: S: -8\sqrt2~~~e~~~8\sqrt2}}}$