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 are some common factors of 25 and 250?
List the factors that led the United States to realize an imperialist vision in the 1890s.
Which word in the sentence is the predicate nominative? At the fair, the turtle races have become an annual event. A. event B. annual C. races D. fair
True or False: Chemical energy stored in food cannot be transformed into mechanical energy
Given: AB is the perpendicular bisector of IK. Name two lengths that are equal
Is the sentence a simple or a compound sentence? The acrobats and jugglers did amazing tricks. a. simple sentence b. compound sentence
what US document was written in 1776?
Is social media appropriate for teenagers? A question frequently asked and is becoming more and more prominent so is it???
The period of a 261 Hertz sound wave is
The poet wants to express as much as he or she can in the fewest words possible. This is referred to as _____. central idea economy of words universal theme sta