Question

-x³ - 20 = - 36

me ayudan porfa ​

Answer 1

Respuesta:

[tex]x=2\sqrt[3]{2},\:x=-\sqrt[3]{2}+\sqrt[3]{2}\sqrt{3}i,\:x=-\sqrt[3]{2}-\sqrt[3]{2}\sqrt{3}i[/tex]

Explicación paso a paso:

[tex]-x^3-20=-36\\\\\mathrm{Sumar\:}20\mathrm{\:a\:ambos\:lados}\\\\-x^3-20+20=-36+20\\\\\mathrm{Simplificar}\\\\-x^3=-16\\\\\mathrm{Dividir\:ambos\:lados\:entre\:}-1\\\\\frac{-x^3}{-1}=\frac{-16}{-1}\\\\\mathrm{Simplificar}\\\\x^3=16\\\\\mathrm{Para\:}x^3=f\left(a\right)\mathrm{\:las\:soluciones\:son\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}\\\\[/tex]

[tex]x=\sqrt[3]{16},\:x=\sqrt[3]{16}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{16}\frac{-1-\sqrt{3}i}{2}\\\\=2\sqrt[3]{2},\:x=-\sqrt[3]{2}+\sqrt[3]{2}\sqrt{3}i,\:x=-\sqrt[3]{2}-\sqrt[3]{2}\sqrt{3}i[/tex]

Answer 2

Verified answer

Respuesta:

[tex]X\sqrt[3]{2}[/tex]

Explicación paso a paso:

[tex]-x^{3} =-36+20\\x^{3}=-16\\\\ se cambian\ lo\ signos\ x^{3} = 16\\\\x=2\sqrt[3]{2} \\x=2\sqrt[3]{2}[/tex]