Question

14x⁴-45x²-14 me ayudan??

Answer 1

Respuesta:

Explicación paso a paso:

Podemos resolver esta ecuación, usando la fórmula general, así:

$14x^{2}-45x^{2}-14=0\\a=14\,\,,b=-45\,\,,c=-14\\\\x^{2}=\frac{-(-45)\pm\sqrt{(-45)^{2}-4(14)(-14)}}{2(14)}\\\\x^{2}=\frac{45\pm\sqrt{2025+392}}{28}\\\\x^{2}=\frac{45\pm\sqrt{2417}}{28}\\\\x^{2}=\frac{45\pm 49}{28}\\\\x^{2}_{1}=\frac{45+49}{28}=\frac{47}{14}\Rightarrow x_{1}=\pm\sqrt{\frac{47}{14}}=1.8\\\\x^{2}_{2}=\frac{45-49}{28}=-\frac{1}{7}\Rightarrow x_{2}=\pm\sqrt{\frac{1}{7}}i=\pm\frac{1}{\sqrt{7}}i$

Saludos