butterybaer butterybaer

23-07-2017
Mathematics

contestada

How many rational roots does x4 + 3x2 + 2 = 0 have?

Respuesta :

Banabanana Banabanana

23-07-2017

x⁴ + 3x² +2 = 0
x⁴ + 2x² + x² + 2 = 0
x²(x² + 2) + (x² + 2) = 0
(x² + 2)*(x² + 1) = 0

x² + 2 = 0
x² = -2 ⇒ no rational roots

or
x² + 1 = 0
x² = -1 ⇒ no rational roots

The equation has no rational roots

Answer Link

Otras preguntas

How did the Vietnam War and the anti-war movement affect the U.S. politics and culture?

What does it mean that scrum defines itself as a "framework for empirical process control?"

Who decided Santa fat?

What are 5 Christmas traditions?

at a certain concentration of no and o2, the initial rate of reaction is 0.810 m / s. what would the initial rate of the reaction be if the concentration of no

What group of Indigenous nations lived on the land that would become Santa Fe? 1.) the Timucua peoples 2.) the Pueblo peoples 3.) the Calusa peoples

Both distributions are approximately normal. Suppose we choose a random 400 meter race and calculate the difference between their times. It's reasonable to assu

what happens to the wavelength and energy of the photons of light when the frequency becomes lower?

What is the main message of Christmas?

how many elements if a coin is tossed 10 times start and end with different faces and have a total of 4 tails