Question

Encuentra los dos valore de x para la ecuación: 2x^2 + 2x = 0​

Answer 1

Respuesta:

x₁ = 0

x₂ = -1

Explicación paso a paso:

$2x^2 + 2x =0 \\\\\\ x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a} \\\\ \mathrm{Para\:}\quad a=2,\:b=2,\:c=0 \\\\ x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:2\cdot \:0}}{2\cdot \:2}$

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$\displaystyle x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot 2\cdot 0}}{2\cdot 2}\\\\\\ x_{1,\:2}=\frac{-2\pm\sqrt{2^2-0}}{2\cdot 2}\\\\\\x_{1,\:2}=\frac{-2\pm\sqrt{4-0}}{2 \cdot 2}\\\\\\x_{1,\:2}=\frac{-2\pm \sqrt{4}}{2\cdot 2}\\\\\\x_{1,\:2}=\frac{-2\pm 2}{2\cdot2}\\\\\\\mathrm{Separar\:las\:soluciones}\\\\\\x_{1} =\frac{-2+2}{2\cdot 2},\:x_2=\frac{-2-2}{2\cdot 2}\\\\\\\\x_{1} =\frac{-2+2}{2\cdot 2}\\\\\\\x_{1}=\frac{0}{4}\\\\\\x_{1} =0\\\\\\\\x_2=\frac{-2-2}{2\cdot 2}\\\\\\x_2= \frac{-4}{4} \\\\\\ x_2 = -1$