Question

-x^2-x=0
ayuda unuununununu
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Answer 1

¡Hola!

Respuesta:

$Es \ x=-1,\:x=-0$

Explicación paso a paso:

Utilizamos la formula de Segundo grado:

$\boxed{\texttt{x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}}$$\boxed{\texttt{x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}}$$\boxed{\textt{x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}}$

$-x^2-x=0\\\\x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\left(-1\right)\cdot \:0}}{2\left(-1\right)}\\\\x_{1,\:2}=\frac{-\left(-1\right)\pm \:\sqrt{\left(-1\right)^2+4\cdot \:1\cdot \:0}}{2\left(-1\right)}\\\\x_{1,\:2}=\frac{-\left(-1\right)\pm \:\sqrt{1+0}}{2\left(-1\right)}\\\\\mathrm{Se\:separan\:las\:soluciones:}\\\\x_1=\frac{-\left(-1\right)+1}{2\left(-1\right)},\:x_2=\frac{-\left(-1\right)-1}{2\left(-1\right)}\\\\x=\frac{2}{-2},\:x=\frac{0}{-2}\\\\x=-1,\:x=-0$