Question

Resolva em R (conjunto dis números reais), a equação do 2° grau usando a fórmula resolutiva

x²-4+7x=-10​

Answer 1

Resposta:

$\boxed{\bf{S=\{\ -6,-1\}}}$

Explicação passo-a-passo:

x²-4+7x=-10

x² + 7x + 6 = 0

a= 1; b = 7; c = 6

$x=\dfrac{-b\pm\sqrt{b^2 - 4\times a\times c}}{2\times a}\\\\x=\dfrac{-7\pm\sqrt{7^2 - 4\times 1\times 6}}{2\times 1}\\\\x=\dfrac{-7\pm\sqrt{49 - 24}}{2}\\\\x=\dfrac{-7\pm\sqrt{25}}{2}=\dfrac{-7\pm5}{2}\\\\x_1=\dfrac{-7+5}{2}=\dfrac{-2}{\ \ 2}=-1\\\\\boxed{x_1=-1}\\\\x_2=\dfrac{-7-5}{2}=\dfrac{-12}{\ \ \ \ 2}=-6\\\\\boxed{x_2=-6}\\\\\boxed{\bf{S=\{\ -6,-1\}}}$

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