davonty123oxk63n davonty123oxk63n
  • 18-10-2018
  • Mathematics
contestada

3{x}^{4}-15{x}^{2}+12=0

Respuesta :

gmany
gmany gmany
  • 18-10-2018

[tex]3x^4-15x^2+12=0\qquad|:3\\\\x^4-5x^2+4=0\\\\x^4-x^2-4x^2+4=0\\\\x^2(x^2-1)-4(x^2-1)=0\\\\(x^2-1)(x^2-4)+0\iff x^2-1=0\ \vee\ x^2-4=0\\\\x^2=1\ \vee\ x^2=4\\\\x=\pm\sqrt1\ \vee\ x=\pm\sqrt4\\\\\boxed{x=-1\ \vee\ x=1\ \vee\ x=-2\ \vee\ x=2}[/tex]

Answer Link

Otras preguntas

What is .725 as a fraction
who over threw the nobles with the support of common people
who over threw the nobles with the support of common people
What is .725 as a fraction
Estimate 49% of 162. Use mental math to calculate 49% of 162. ???
What is .725 as a fraction
What were the positive and negative effects of Egypt being imperialized by Britain.
Estimate 49% of 162. Use mental math to calculate 49% of 162. ???
What is .725 as a fraction
if 10+3x-7x=6 what does x equal