Question

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x²-12x-45=0

Answer 1

x²-12x-45=0
(x-15)(x+3)=0
x-15=0; x+3=0
x=15;  x=-3

Answer 2

¡Hola!

Respuesta:

$Es \ x=15,\:x=-3$

Explicación paso a paso:

Utilizamos la formula de Segundo grado:

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

$x^2-12x-45=0\\\\x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:1\cdot \left(-45\right)}}{2\cdot \:1}\\\\x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{144+180}}{2\cdot \:1}\\\\x_{1,\:2}=\frac{-\left(-12\right)\pm \:\sqrt{324}}{2\cdot \:1}\\\\x_{1,\:2}=\frac{-\left(-12\right)\pm \:18}{2\cdot \:1}\\\\\mathrm{Se \ separan\:las\:soluciones:}\\\\x_1=\frac{-\left(-12\right)+18}{2\cdot \:1},\:x_2=\frac{-\left(-12\right)-18}{2\cdot \:1}\\\\x=\frac{30}{2},\:x=\frac{-6}{2}\\\\x=15,\:x=-3$