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 the process of removing -H and -OH in order to bond together called
Which sport from ancient China is said to be the predecessor of modern soccer
What is the atomic number of an element that has 43 protons and 50 neutrons?
You roll a six sided dice four times, what is the probability of rolling four sixes?
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a radius of 8 inches. What it looks
How to draw a grid of area of 12 square centimeters and a perimeter of 16 centimeters?
Which expression results when the change of base formula is applied to log4(x+2) ?
A store is having a sale on almonds and jelly beans. For 8 pounds of almonds and 3 pounds of jelly beans, the total cost is $18 . For 2 pounds of almonds
The receptionist at the information desk of a hospital represents the ______ to the service operation system.
-4+6(-4x+3) combining like terms & distributive property