Question

x² - 2x -8 = 0
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Answer 1

Resposta ↓

Conjunto solução da equação s = {4, -2}

Explicação passo a passo:

⇒ Utilizarei a fórmula de bháskara para calcular:

${\boxed{\boxed{\boxed{\sf x^2 - 2x -8 = 0 }}}$

Coeficientes:

$a = 1\\b = -2\\c = -8$

$\Delta = b^2 - 4.a.c\\\\\\\Delta = (-2)^2 - 4.1.(-8)\\\\\\\Delta = 4 + 32\\\\\\\Delta = 36$

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$x = \cfrac{-b\pm \sqrt{\Delta} }{2.a} \\\\\\x = \cfrac{-(-2) \pm \sqrt{36} }{2.1} \\\\\\x = \cfrac{2 \pm 6}{2} \\\\\\x' = \cfrac{2+6}{2} \\\\\\x' = \cfrac{8}{2} \\\\\\x' = 4\\\\\\x" = \cfrac{2 - 6}{2} \\\\\\x" = \cfrac{- 4}{2} \\\\\\x" = - 2$

⇒ Conjunto solução da equação:

s = {4, -2}