1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
quester [9]
4 years ago
14

Which of the following is a solution of x2 + 4x = -8?

Mathematics
1 answer:
Whitepunk [10]4 years ago
8 0

Answer:

x=2i-2,\:x=-2i-2

Step-by-step explanation:

x^2 + 4x = -8\\\\\mathrm{Solve\:by\:completing\:the\:square}\\\\\mathrm{Write\:equation\:in\:the\:form:\:\:}x^2+2ax+a^2=\left(x+a\right)^2\\\\\mathrm{Solve\:for\:}a,\:2ax=4x:\quad a=2\\\\\mathrm{Add\:}a^2=2^2\mathrm{\:to\:both\:sides}\\\\x^2+4x+2^2=-8+2^2\\\\\mathrm{Simplify\:}-8+2^2:\quad -4\\x^2+4x+2^2=-4\\\\\mathrm{Complete\:the\:square}\\\left(x+2\right)^2=-4\\\\\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\\

\mathrm{Solve\:}\:x+2=\sqrt{-4}:\quad x=2i-2\\\\\mathrm{Solve\:}\:x+2=-\sqrt{-4}:\quad x=-2i-2\\\\x=2i-2,\:x=-2i-2\\

You might be interested in
Help with number 8 plzzzzzzzzzzzzz
Oksi-84 [34.3K]
Answer:
D.) no solution
4 0
3 years ago
HhahsecbxhsaBNIMQKBS help?
Yuliya22 [10]
28.6 I think if it not I’m sorry
8 0
3 years ago
Read 2 more answers
what is the value of m in the figure below? if necessary round your answer to the nearest tenth of the unit.​
gulaghasi [49]

Answer:

C^2=AxN

M^2=AxN

M^2=17x4

M^2=68

M=8,2

Step-by-step explanation:

6 0
3 years ago
Write an equation of the line with a slope of — 7 and y-intercept of 1.
loris [4]

Answer:

y= -7x + 1

Step-by-step explanation:

this is the answer

7 0
3 years ago
If f(x) =x^2 + 4x and g(x) = 2x +4, find (fg)(1)
snow_lady [41]

Step-by-step explanation:

Set up the composite result function.

f(g(x))f(g(x))

Evaluate f(g(x))f(g(x)) by substituting in the value of gg into ff.

f(x2)=2(x2)−4f(x2)=2(x2)-4

Multiply 22 by x2x2.

f(x2)=2x2−4f(x2)=2x2-4

5 0
3 years ago
Other questions:
  • What is the area of polygon IJKL?
    8·2 answers
  • Commutative vs associative property
    9·1 answer
  • The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in. A right triangle is shown. The hypotenuse has a len
    7·2 answers
  • Please help me on number 3
    5·1 answer
  • what s the probality that the first card is a king and the second card is a king if the smapling is done withot replacement
    13·1 answer
  • Where would square root 113 be located on a number line
    14·1 answer
  • Please help due today at 8 am
    11·2 answers
  • Click an Item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
    6·1 answer
  • Can someone please answer this!!
    11·1 answer
  • Complete the Statement
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!