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
kramer
3 years ago
7

The sum of a whole number and twice its square is 21. Find the whole number

Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0
SOLUTION:

Let whole number = x

x + 2x^2 = 21

2x^2 + x - 21 = 0

2x^2 + 7x - 6x - 21 = 0

x ( 2x + 7 ) - 3 ( 2x + 7 ) = 0

( 2x + 7 ) ( x - 3 ) = 0


2x + 7 = 0

2x = - 7

x = - 7 / 2

OR

x - 3 = 0

x = 3


ANSWER:

Therefore, as 3 is a whole number while - 7 / 2 isn't a whole number, the whole number must be 3.

Hope this helps! :)
Have a lovely day! <3
You might be interested in
A rectangular prism has a length of 8 in., a width of 4 in., and a height of 214 in.
Ivan

For this case we have that by definition, the volume of a rectangular prism is given by:

V = A_ {b} * h

Where:

A_ {b}: It is the area of the base

h: It is the height

So:

A_ {b} = 8 * 4 = 32 \ in ^ 2\\h = 214 \ in

The volume of the prism is:

V = 32 * 214 = 6848 \ in ^ 3

Now, the volume of the cubes is:

V = (14) ^ 3 = 2744 \ in ^ 3

Thus, we divide and find the number of cubes to fill the prism:

n = \frac {6848 \ in ^ 3} {2744 \ in ^ 3}\\n = 2.5

ANswer:

n = 2.5

8 0
3 years ago
What happens when a line segment is dilated from a point on the line?
irina [24]

Answer:

Step-by-step explanation:

Concept 3: The dilation of a line segment is longer or shorter in the ratio given by the scale factor. If the scale factor is greater than 1 (k > 1), the image will be larger than the pre-image, making the segments (sides) of the image longer than the corresponding sides of its pre-image (an enlargement).

3 0
2 years ago
Hello, I need help with this math problem please
Marina86 [1]

Answer:

4c^2+7c-5=0

4c^2+7c=5

4c^2+7c=5

4c^2+7c-5=0\quad :\quad c=\frac{-7+\sqrt{129}}{8},\:c=\frac{-7-\sqrt{129}}{8}\quad \left(\mathrm{Decimal}:\quad c=0.54472\dots ,\:c=-2.29472\dots \right)

Hope This Helps!!!

4 0
3 years ago
Read 2 more answers
Mr. Clark traveled 456.4 km in 14 days.
xeze [42]

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

<h3><u>Distance travelled each day is</u> : </h3>

  • 32.6 km

<h3><u>Explanation</u> : </h3>

Distance travelled in 14 days is : 456.4 km

And if he travels same Distance each day, so let the Distance travelled on each day be x

According to question ~

\qquad \sf  \dashrightarrow \: 14 \times x = 456.4

\qquad \sf  \dashrightarrow \: x = 456.4 \div 14

\qquad \sf  \dashrightarrow x = \: 32.6  \: \: km

So, he travels 32.6 km per day

5 0
2 years ago
Distributive prperty m(13-2r)
exis [7]

Answer:

13m-26mr boom that's it

Step-by-step explanation:

i think

5 0
3 years ago
Other questions:
  • Your family of four has a 6 GB data limit each month. You use twice as much data as your sister, half as much data as your fathe
    15·1 answer
  • HELP ASAP! <br><br> What is the measure of the indicated central angle?
    8·1 answer
  • Solve each system by elimination 5x + y - 2z = -12
    8·1 answer
  • Show solution of the ratio of 14 days to 3 weeks in simplest form?
    8·2 answers
  • Steven is buying a new mountain bike on layaway for $272. If he pays $34 each week, how many weeks will it take Steven to pay fo
    5·2 answers
  • Divide the sum of 8 and 12 by 4
    15·2 answers
  • What is the value of |–2|? <br> A- 1 <br> B- –2 <br> C- 0 <br> D- 2
    5·1 answer
  • HELPPPPPPPPPP!!!!!!!!!
    12·2 answers
  • Write the expanded form of the expression.
    8·1 answer
  • PLEASE HELPPPP ILL MARK BRAINLIEST
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!