what are the solutions to the quadratic equation $x^{2}-16 = 0$?\n$x = 2$ and $x=-2$\n$x = 4$ and $x=-4$\n$x…

what are the solutions to the quadratic equation $x^{2}-16 = 0$?\n$x = 2$ and $x=-2$\n$x = 4$ and $x=-4$\n$x = 8$ and $x=-8$\n$x = 16$ and $x=-16$

what are the solutions to the quadratic equation $x^{2}-16 = 0$?\n$x = 2$ and $x=-2$\n$x = 4$ and $x=-4$\n$x = 8$ and $x=-8$\n$x = 16$ and $x=-16$

Answer

Explanation:

Step1: Re - arrange the equation

Sumamos 16 a ambos lados de la ecuación $x^{2}-16 = 0$, obteniendo $x^{2}=16$.

Step2: Obtener las soluciones

Tomamos la raíz cuadrada de ambos lados. Recordando que $\sqrt{x^{2}}=\pm x$, entonces $x=\pm\sqrt{16}$. Como $\sqrt{16} = 4$, las soluciones son $x = 4$ y $x=-4$.

Answer:

$x = 4$ and $x=-4$