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
12345 [234]
3 years ago
9

X^2-14x-4=0, solve by completing the square

Mathematics
2 answers:
REY [17]3 years ago
4 0
The answer is: x = 7 - √53      or      x = 7 + √53

The general quadratic equation is: ax² + bx + c  = 0.
But, by completing the square we turn it into: a(x + d)² + e = 0, where:<span>
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 14x -4 = 0, which is after rearrangement:
So, a = 1, b = -14, c = -4
Let's first calculate d and e:
d = b/2a = -14/2*1 = -14/2 = -7
e = c - b²/4a = -4 - (-14)</span>²/4*1 = -4 - 196/4 = -4 - 49 = -53<span>
By completing the square we have:
a(x + d)² + e = 0

1(x + (-7))</span>² + (-53) = 0
(x - 7)² - 53 = 0
(x - 7)² = 53
x - 7 = +/-√53
x = 7 +/- √53

Therefore, the solutions are:
x = 7 - √53
or
x = 7 + √53
devlian [24]3 years ago
4 0
×^2-14×+49-49-4=0
(×-7)^2-53=0
(×-7-7.3)(×-7+7.3)
(×-14.3)(×+0.3)=0
You might be interested in
Kyle uses a spreadsheet to keep track of his spending. this is an example of kyle’s spreadsheet for two months: a 2-column table
hammer [34]

The statements which help Kyle’s spreadsheet become more organized are (ii and iii). They should be different having the time, of transaction to simplify find.

<h3>What is spreadsheet?</h3>

Spreadsheet is the electronic sheet in which the data can be arranged and saved for the future use. This data in a spreadsheet is arranged in the rows and the column of the spreadsheet.

Kyle uses a spreadsheet to keep track of his spending. this is an example of Kyle’s spreadsheet for two months.

Kyle thinks that he could improve this spreadsheet, but he is not sure how. Choose the statement or statements that would help kyle’s spreadsheet become more organized.

The statement, which may help him,

  • ii. It is hard to tell the debits from the credits. They should be in different colors, different columns, or otherwise differentiated. This way he can arrange and find the data whenever required.
  • iii. Having the dates, or at least the months, of each transaction would make things easier to find. This way he can see the transaction data wise and arranged them in time wise order.

Thus, The statements which help Kyle’s spreadsheet become more organized are (ii and iii). They should be different having the time, of transaction to simplify find.

Learn more about the spreadsheet here;

brainly.com/question/4965119

6 0
2 years ago
The population of Nottingham High School can be modeled using the equation
torisob [31]

\stackrel{\textit{population of Nottinghan HS}}{P(t)=2600(0.96)^t} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{t=14}}{P(14)}~~ = ~~2600(0.96)^{14}\implies \stackrel{\textit{in the year 2014, the population will be about 1468}}{P(14) ~~\approx ~~1468}

8 0
2 years ago
16 increased by twice a number is -24
wlad13 [49]
X-the number

16 + 2x = -24    |subtract 16 from both sides

2x = -40      |divide both sides by 2

<u>x = -20</u>

Answer: <em>The number is -24</em>
8 0
3 years ago
Make a sketch of the cross section resulting from the slice shown in the right square pyramid below. Then, using complete senten
Assoli18 [71]

Answer:3

Step-by-step explanation:

38+s6$

6 0
3 years ago
Logan made a profit of $210.00 as a mobile groomer. He charged $75.00 per appointment and received $35.00 in tips, but also had
Sonja [21]

Answer: Per the I agree statement you signed when you registered for your course.  Selling course material to another person, student, entity, and/or uploading to a third-party vendor without the express written permission of FLVS is prohibited. Course materials include, but are not limited to, class notes, instructor's power points, course syllabi, tests, quizzes, labs, instruction sheets, homework, study guides, and handouts.

4 0
2 years ago
Other questions:
  • PLs help me its due so soon help me see the attachment below for the question
    10·1 answer
  • Choose the correct definition of a sampling distribution. The sampling distribution of a statistic of size n is:_______a. The di
    15·1 answer
  • The diameter of a sphere is 4 cm which represents the volume of the sphere?
    13·2 answers
  • SLOPE AND RATE OF CHANGE
    5·1 answer
  • Which equation does the graph below represent?
    10·1 answer
  • In 3 3/4hours one day in February, it snowed 3 feet in Amarillo. How much snow fell per hour?
    15·1 answer
  • Cost of the student ticket to the school play is $7. Write an equation that correctly relates the total cost, c,
    6·1 answer
  • A) Katie and Jill currently share a dresser, and each would like to have one of her
    8·1 answer
  • HELP PLEASEEE YOULL GET 15 POINTS
    7·1 answer
  • Let f(x)=3x-8 and g(x)=x^2+4. <br> Find f(g(-2)).
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!