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
SSSSS [86.1K]
3 years ago
11

In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second

Mathematics
1 answer:
Molodets [167]3 years ago
6 0

Given:

In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second.

To find:

The equation for the given situation if the sum of the numbers is 77.

Solution:

a. Let the first number in the set is x.

The second is 3 more than the first. So, the second number is (x+3).

The 3rd number is a square of the second. So, the third number is (x+3)^2.

Therefore, the first, second and third numbers are x,(x+3),(x+3)^2 respectively.

b. The sum of the numbers is 77.

First number + Second number + Third number = 77

c. So, the equation in terms of x is:

x+(x+3)+(x+3)^2=77

Therefore, the required equation is x+(x+3)+(x+3)^2=77.

d. On simplification, we get

x+x+3+x^2+6x+9=77                   [\because (a+b)^2=a^2+2ab+b^2]

x^2+(6x+x+x)+(3+9)=77

x^2+8x+12=77

Subtract 77 from both sides.

x^2+8x+12-77=77-77

x^2+8x-65=0

Therefore, the simplified form of the required equation is x^2+8x-65=0.

You might be interested in
What is the answer for this algebra question 4(2n-5)=3n+10
miss Akunina [59]
4(2n-5)=3n+10\\\\
8n-20=3n+10\ \ \ |Subtract\ 3n\\\\
5n-20=10\ \ \ Add\ 20\\\\
5n=30\ \ \ |Divide\ by\ 5\\\\
n=\frac{30}{5}=6\\\\Solution\ is\ n=6.
4 0
3 years ago
Read 2 more answers
Allan drew a polygon with 4 sides and 4 angles. All four sides are equal. None of the angles are right angles. What figure did A
Lady_Fox [76]

Answer: The figure drawn by Alan is a rhombus.


Step-by-step explanation:

Given: Allan drew a polygon with 4 sides and 4 angles with two properties:-

  • All four sides are equal.
  • None of the angles are right angles.

We know that only a rhombus is a flat shape with 4 equal straight sides and 4 angles .All sides have equal length. Its angles need not to be right angle.

Therefore, the figure drawn by Alan is a rhombus.


8 0
3 years ago
Read 2 more answers
If a2+b2=c2 then is the converse theorem false or true
Mariana [72]
False, that is the Pythagorean theorem.
6 0
3 years ago
Read 2 more answers
How many solutions does the equation 6y − 3y − 7 = −2 + 3 have?
Ludmilka [50]
The only solution to this equation is 8/3, therefore the answer is C.
4 0
3 years ago
Explain how you would show 135% on a 10-by-10 grid.Then use the grids below to show 135%. HELP QUICK!
Alja [10]
Just color one intire grid and thirty five units on the other
5 0
3 years ago
Other questions:
  • It would be great if u can help tyy!!
    11·1 answer
  • Answer ASAP<br> Find the area
    10·1 answer
  • The cost of producing 4 metal units is 204.80. The cost of producing 8 units is 209.60. What is the cost to produce 12
    9·2 answers
  • The graphs shown are of the form y = ax2. Which graph has the smallest value for a?
    13·1 answer
  • Solve for x 6 x − 9 = 2 x + 7 can u plz help me
    9·1 answer
  • 10x - 8 &gt; 2 (4x + 2) what is x
    11·1 answer
  • I PUT THE PICTURE ALONG WITH THIs. SOMEONE PLEASE PLZ PLZ PLZ PLZ HELP ASAP.
    12·1 answer
  • Principal: 300
    5·1 answer
  • Said deposited sh 56 800 in a SACCO, which paid simple interest at the rate of 12% 1 per annum. After sometime he withdrew all h
    9·1 answer
  • 1. A boat drifted 15 m out into the water off Ocean Beach, where the shore drops off
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!