miymiy1737
miymiy1737 miymiy1737
  • 03-09-2014
  • Mathematics
contestada


H(x)=(x^2)+1 and K(x)=-(x^2)+4. If K(H)=0, what are the roots/solutions?
a. ±i√3
b. ±i
c. ±2
d. ±1
e. ±1, ±i

Respuesta :

Аноним Аноним
  • 03-09-2014
[tex]H(x)=x^2+1;\ K(x)=-x^2+4\\\\K(H)=K(x^2+1)=-(x^2+1)^2+4=0\\\\(x^2+1)^2=4\iff x^2+1=\pm\sqrt4\\\\x^2+1=-2\ or\ x^2+1=2\ \ \ \ |subtract\ 1\ from\ both\ sides\\\\x^2=-3\ or\ x^2=1\\\\\boxed{x=\pm i\sqrt3\ or\ x=\pm1}[/tex]
Ver imagen Аноним
Answer Link

Otras preguntas

PLEASE PLEASE PLEASE HELP 40 POINTS AND BRAINLIEST
What is population cencus​
Using the information included in the map above to guide you, which three of the following statements are probably true? Check all that apply. View Available Hi
Example of non heritable character
What are some reasons for studying economics? Check all that apply. Economics has an impact on everyday life. Economics helps people learn to manage resources.
BRAINIEST HELP ME PLZZZZZZZZZ
Maurice has the following utility function: U (X Y) =20X+80Y-X^2-2Y^2, where X is his consumption of CDs with a price of ​$11 and Y is his consumption of movie​
A rocket moves upward, starting from rest with an acceleration of +29.4 m/s² for 3.98 s. It runs out of fuel at the end of the 3.98 s but does not stop. How hi
The sum of a negative number, 1/4 of the negative number and 7/16 of the negative number is -13 1/2, what is the negative number?
-3k + 4 + 8k - 7 Use k = (-7)