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

What is -9*c^.5? Can you please help!! I am so lost!!!
Which pronoun correctly completes the elliptical clause? You folded fewer towels than __________. A. him B. he
outlaws of the Wild West were heroes of their time
by what length is is 0.5 m less than 10.05
Which fraction is equivalent to 2/7
Brody added a fraction to 5/6 to get 31/30. Use the equation a/b + c/d = (ad +bc)/ bd to find the fraction he added
What would be most useful to help make a simple compass a nonmetal bar,a round metal can,a small iron nail,or a Quartz needle
the initial population of a town is 2600, and it grows with a doubling time of 10 years. what will the population be in 8 years?
A bottle of fruit juice is 800 milliliters. How many liters of fruit juice are in 120 bottles?
the coordinates of point A are (-6, 4). the coordinates of point B are (3, 4). which expression represents the distance, in units, between points A and B?