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
Vladimir79 [104]
3 years ago
6

{}^{2} = x {}^{2} + 4" alt="4x {}^{2} = x {}^{2} + 4" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
mario62 [17]3 years ago
8 0

Answer:

x = 1.155

x = -1.155

Step-by-step explanation:

4x² = x² + 4

<h3><u>i</u><u>)</u><u> </u><u>move</u><u> </u><u>variable</u><u> </u><u>to</u><u> </u><u>the</u><u> </u><u>left-</u><u>hand</u><u> side</u><u> </u><u>and</u><u> </u><u>change</u><u> its</u><u> sign</u></h3>

4x² - x² = 4

<h3><u>ii</u><u>)</u><u> </u><u>colle</u><u>ct</u><u> like</u><u> terms</u></h3>

3x² = 4

<h3><u>iii</u><u>)</u><u> </u><u>divi</u><u>de</u><u> both</u><u> sides</u><u> of</u><u> the</u><u> equation</u><u> </u><u>by</u><u> </u><u>3</u></h3>

<u>\frac{ {3x}^{2} }{3}  =  \frac{4}{3}</u>

{x}^{2}  =  \frac{4}{3}

<h3><u>iv</u><u>)</u><u> </u><u>take the square root to the opposite side of the equation and remember to use </u></h3><h3><u>positive</u><u> and negative </u><u>roots</u></h3>

<u>x =  +  -  \sqrt{ \frac{4}{ 3} }</u>

<h3><u>v</u><u>)</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>has</u><u> </u><u>two</u><u> </u><u>solu</u><u>tions</u><u>.</u><u> </u><u>write</u><u> </u><u>the</u><u> </u><u>solutions</u><u>,</u><u> </u><u>one</u><u> </u><u>with</u><u> </u><u>a</u><u> </u><u>'</u><u>+</u><u>'</u><u> </u><u>sign</u><u> </u><u>and</u><u> </u><u>anothe</u><u>r</u><u> </u><u>with</u><u> </u><u>a</u><u> </u><u>'</u><u>-</u><u>'</u><u> </u><u>sign</u></h3>

x =  \sqrt{ \frac{4}{3} } \: or \: 1.155

x =  -  \sqrt{ \frac{4}{3} } \:  or - 1.155

<h3 />

You might be interested in
The measure of &lt;ABC is 90 degrees and the measure of &lt;DBC is 33 degrees​
Pavel [41]

Answer:

B.

Step-by-step explanation:

4 0
3 years ago
(x +y)(x-y), ifx= -3, y=-5
Rufina [12.5K]

Answer:

-16

Step-by-step explanation:

(-3 + (-5))(-3 - (-5))

(-3 - 5)(-3 + 5)

(-8)*2

<u>-16</u>

5 0
3 years ago
Read 2 more answers
Maggie's brother is 4 years younger than three times her age. The sum of their ages is 16.
bearhunter [10]

Answer:

Maggie is 5 years old

Step-by-step explanation:

3M-4+M=16

add 4 to both sides

4M=20

Divide both sides by 4

20/4 = 5

M/Maggie is 5

7 0
3 years ago
The length and width of a rectangle are 7 cm and (x-8) cm respectively. Find the value of x if the area with of the rectangle is
Tcecarenko [31]

to find the area of a rectangle is LxW=A

plug in the given numbers you have

L = 7

W = x-8

A = 42

7 * x-8 = 42

7x-56= 42

solve for X

3 0
3 years ago
Determine the equation of the graph.
ruslelena [56]

Answer: C

y=-5cos(x) is the graphed equation. Cos(x) starts at (0,0) and one period is 2pi or 6.28 and by cos(x) multiplied by -5 starts the cosine wave at (0,-5) and thus corresponds to the graphed equation shown.

Any questions please feel free to ask. Thanks

6 0
3 years ago
Other questions:
  • The general manager of an engineering firm wants to know whether a technical artist’s experience influences the quality of his o
    15·1 answer
  • Friday night's hockey game was attended by 180 students. This is about 60% of the schools population. What is the total populati
    5·2 answers
  • 120˚
    8·1 answer
  • A telephone pole stands 20 feet tall. A wire extending from the top of the pole to the ground is 25 feet long. What is the dista
    15·1 answer
  • Solve the equation. Round your answer to the nearest hundredth.<br> 47 +3.81k = -41
    15·1 answer
  • Marcos sees a cake advertised as $15 or 2 for $25. What is the difference of the unit rate?
    10·1 answer
  • A hybrid SUV gets 32miles per gallon on the highway driving at a constant 55 miles per hour.At this rate, how many gallons per h
    15·2 answers
  • How did Captain Hook Get Injured?
    9·2 answers
  • HURRY PLEASE I WILL GIVE BRAINLIEST AND LOTS OF POINTS
    14·1 answer
  • NEED HELP ASAP !!!<br><br> Simplify: √16r<br> O 47²<br> O 473<br> 87²<br> O 8-3
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!