Question

Calcule a soma das raízes reais da equação :
x² + 3x = 0

Answer 1

Resposta ↓

Valor da soma das raízes reais da equação = - 3

Explicação passo-a-passo:

1° - Determinarei o valor dos coeficientes :

${\boxed{\boxed{\boxed{\sf x^{2} + 3x = 0 }}}$

a = 1

b = 3

c = 0

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$\Delta = b^2 - 4.a.c\\\\\\\Delta = 3^2 - 4.1.0\\\\\\\Delta = 9 - 0\\\\\\\Delta = 9$

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$x = \cfrac{-b\pm\sqrt{\Delta} }{2.a}\\\\\\x = \cfrac{-3\pm\sqrt{9} }{2.1} \\\\\\x = \cfrac{-3\pm3}{2} \\\\\\x' = \cfrac{-3+3}{2} \\\\\\x' = \cfrac{0}{2} \\\\\\x' = 0\\\\\\x" = \cfrac{-3 - 3}{2} \\\\\\x" = \cfrac{-6}{2} \\\\\\x" = - 3$

s = {0, - 3}

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Agora somamos as raízes :

0 + ( - 3)

0 - 3

= - 3

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