miymiy1737 miymiy1737

03-09-2014
Mathematics

Answered

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

Answer :

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]

View image Аноним

Answer Link

Other Questions

How you will be implementing one or more of these instructional options. generate two prompts (1-2 sentences each) that invite students to write about concepts

for a certain chemical reaction the standard Gibbs free energy of reaction at 15°C is 91.8 Kj. calculate The equilibrium constant K for this reaction

1.Chonga isichazi kwesi sivakalisi wakugqiba uchaze nodidi Iwaso. Umhlobo wam wokwenene uLive wandibiza ngegama endingalifuniyo

The passage below discusses some of the steps of an engineering-design challenge. Select the part of the passage that describes the prototype. <) Dr. Silva i

A culture of bacteria has an initial population of 31000 bacteria and doubles every 2 hours. Using the formula P, start subscript, t, end subscript, equals, P,

For a regular hexagon, the area is 508.2yd^2 and the apothem is 12.1 yd. Find the side length, in yards, of the hexagon

11 12 13What was President Nixon's approach to easing tensions between the United States and other nations?investigation before actiondétenteO reconciliationO a

Last winter, Andrew was charged $1,175.44 for 8,412 kWh of electricity. What did his company charge per kilowatt-hour of electricity?

SPM PracticeWrite your answer in 200-250 words in an appropriate style.You see this notice on the English Society information board.Write your article.Articles

How do consumers benefit from accumulating airline miles?A. Consumers can use miles as a tax deduction.B. Consumers can use the miles to purchase airline ticket