a) [tex]x^2+16=0[/tex]
Restamos el 16 de ambos lados
[tex]x^2+16-16=0-16[/tex]
Simplificamos
[tex]x^2=-16[/tex]
[tex]x=\sqrt{-16},\:x=-\sqrt{-16}[/tex]
[tex]\sqrt{-16}:4i[/tex]
[tex]-\sqrt{-16}:-4i[/tex]
[tex]x=4i,\:x=-4i[/tex]
b) [tex]7+x^2=-2[/tex]
Restamos el 7 de ambos lados
[tex]7+x^2-7=-2-7[/tex]
[tex]x^2=-9[/tex]
[tex]x=\sqrt{-9},\:x=-\sqrt{-9}[/tex]
[tex]\sqrt{-9}:3i[/tex]
[tex]-\sqrt{-9}:-3i[/tex]
[tex]x=3i,\:x=-3i[/tex]
[tex]Buena\:suerte\:con\:tus\:tareas\::ProfeAndresFelipe :)[/tex]
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RESOLVER:
a) [tex]x^2+16=0[/tex]
Restamos el 16 de ambos lados
[tex]x^2+16-16=0-16[/tex]
Simplificamos
[tex]x^2=-16[/tex]
[tex]x=\sqrt{-16},\:x=-\sqrt{-16}[/tex]
Simplificamos
[tex]\sqrt{-16}:4i[/tex]
[tex]-\sqrt{-16}:-4i[/tex]
[tex]x=4i,\:x=-4i[/tex]
b) [tex]7+x^2=-2[/tex]
Restamos el 7 de ambos lados
[tex]7+x^2-7=-2-7[/tex]
Simplificamos
[tex]x^2=-9[/tex]
[tex]x=\sqrt{-9},\:x=-\sqrt{-9}[/tex]
Simplificamos
[tex]\sqrt{-9}:3i[/tex]
[tex]-\sqrt{-9}:-3i[/tex]
[tex]x=3i,\:x=-3i[/tex]
[tex]Buena\:suerte\:con\:tus\:tareas\::ProfeAndresFelipe :)[/tex]