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]
3 years ago
14

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

Mathematics
1 answer:
Whitepunk [10]3 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
Enter numbers into the table so that the paired values are in a proportional relationship.
asambeis [7]
X=1
Y=6

X=3
Y=18

X=5
Y=30

X=7
Y=42

X=9
Y=54
7 0
3 years ago
If aſc and a +b = C, prove that a|b.
mars1129 [50]

Answer with Step-by-step explanation:

Since we have given that

a + b = c

and a|c

i.e. a divides c.

We need to prove that a|b.

⇒ a = mb for some integer m

Since a|c,

So, mathematically, it is expressed as

c= ka

Now, we put the above value in a + b = c.

So, it becomes,

a+b=c\\\\a+b=ka\\\\b=ka-a\\\\b=a(k-1)\\\\\implies a|b

a=mb, here, m = k-1

Hence, proved.

7 0
3 years ago
Day 2- Real World- Midpoint
nevsk [136]

Answer:

Point of the flower garden  R ( 11, 44 )

Step-by-step explanation:

Let´s call   P (  3, 14 ) The center of the herb garden, and Q ( 7 , 29 ) the birdbath point

Differences in coordinates of these two points are:

x axis        7 - 3   = 4

y axis     29 - 14  = 15

Then the point Q ( x , y ) will be at:  Q ( 11, 44)

x axis    x = 11 because    7 + 4 = 11 means that the coordinate 7 is just halfway way between coordinates (x)  3 and 11  ( 4 above 3, and 4 below 11)

Reasoning the same way we conclude y = 44 in this case 29 is just halfway between coordinates  (y) 14 and 44 ( 15 above 14 and 15 below 44)

We can probe getting distance d₁  between P and Q  and d₂ distance between Q and R as:

d₁ = √ (7-3)² + ( 29-14)²

d₁ = √ 16 + 225

d₂ = √ (11 - 7)² +  ( 44 - 29)²

d₂ = √ 16 + 225

3 0
3 years ago
What is 3.01 as a mixed number
Montano1993 [528]
3.01 as a mixed number is 3 and 1/100
It is 1/100 because the 1 is in the hundredths place
6 0
3 years ago
Read 2 more answers
Choose the point-slope form of the equation of this line.​
igor_vitrenko [27]

Answer:

y= -5x +7

Step-by-step explanation:

We can see points on the graph:

  • (2, -3) and (3, -8)

The function in general form is:

  • y= mx+b

Let's find the slope and y-intercept as per identified points on the graph:

  • m= (y1-y1)/(x2-x1)
  • m= (-8+3)/(3-2)= -5

b= y- mx

  • b= - 3 -(-5)*2= -3 +10= 7

Based on the found values of m and b, the given line is:

  • y= -5x +7
4 0
3 years ago
Read 2 more answers
Other questions:
  • A) what is the difference between a sequence and a series? a series is an unordered list of numbers whereas a sequence is the su
    8·2 answers
  • The Mississippi River flows at a rate of 2 miles per hour. If Eduardo floats
    8·1 answer
  • without any natural predators rabbits can grow at a rate of 25% each year, if 6 rabbits were introduced into an area how many ra
    6·1 answer
  • In an orchard, there are 14 apple trees, 26 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?
    5·1 answer
  • 1 over 3 +2over 5) x 2 over 3
    12·1 answer
  • Please help will mark brainliest
    9·1 answer
  • xion orders 5 loves of bread from the website bakery the total shipping weight is 9 pounds as model of the bread what is in poun
    11·1 answer
  • The daily low temperatures in a city have been below 0° Fahrenheit (F) for the past two days. On Monday, the daily low temperatu
    13·1 answer
  • A moving company makes square boxes with edges each measuring 2 .5 feet. Each moving truck can hold 30 boxes in the trailer. If
    8·2 answers
  • What is 60% of $55?<br> $____
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!