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
Hatshy [7]
3 years ago
13

Three consecutive odd integers are such that the square of the third integer is 9 less than the sum of the squares of the first

two. One solution is negative −3​, −1​, and 1. Find three other consecutive odd integers that also satisfy the given conditions
Mathematics
1 answer:
Trava [24]3 years ago
7 0
Hello,

Let's assume a the first odd integer
a+2 the second,
a+4 the third.

(a+4)²=a²+(a+2)²-9
==> a²+8a+16=a²+a²+4a+4-9
==> a²-4a-21=0
Δ=16+4*21=10²
==> a=(4-10)/2=-3 or a=(4+10)/2=7
sol n°1=(-3;-1;1)
sol n°2=(7;9;11)


You might be interested in
Which of the following expression is equal to x^2+25?
nignag [31]
A: (x + 5i)^2
= (x + 5i)(x + 5i)
= (x)(x) + (x)(5i) + (5i)(x) + (5i)(5i)
= x^2 + 5ix + 5ix + 25i^2
= 25i^2 + 10ix + x^2


B: (x - 5i)^2
= (x  +   - 5i)(x +  - 5i)
= (x)(x) + (x)(- 5i) + (- 5i)(x) + (- 5i)(- 5i)
= x^2 - 5ix - 5ix + 25i^2
= 25i^2 - 10ix + x^2


C: (x - 5i)(x + 5i)
= (x +  - 5i)(x + 5i)
= (x)(x) + (x)(5i) + (- 5i)(x) + (- 5i)(5i)
= x^2 + 5ix - 5ix - 25i^2
= 25i^2 + x^2


D: (x + 10i)(x  - 15i)
= (x + 10i)(x +  - 15i)
= (x)(x) + (x)(- 15i) + (10i)(x) + (10i)(- 15i)
= x^2 - 15ix + 10ix - 150i^2
=  - 150i^2 + 5ix + x^2



Hope that helps!!!

6 0
3 years ago
Read 2 more answers
George is 4 times Dorothy's age. If George is 56, how old is Dorothy? Let d = Dorothy's age.
Yuri [45]
4d=56
d=14. Ad a result, Dorothy is 14 years old. Hope it help!
3 0
3 years ago
Read 2 more answers
Solving Inequalities<br><br>Algebra 1​
Simora [160]

Answer:

B greater than or equal to -12

7 0
3 years ago
Read 2 more answers
Please help Quickly!!
e-lub [12.9K]

Answer:

Option D 3/16

Step-by-step explanation:

Carol is cross-country skiing.

With the help of the given table we have to calculate the rate of change.

If we draw a graph for distance traveled on y-axis and tins at x-axis we find two points, ( 2, 1/6) and (3, 17/48).

Then slope of the line connecting these points will be the rate of change.

Rate of change = Slope = \frac{y-y'}{x-x'}

= \frac{\frac{17}{48}-\frac{1}{6}}{3-2}

= \frac{17-8}{48}

= \frac{9}{48}=\frac{3}{16}

Option D 3/16 is the answer.

3 0
3 years ago
Read 2 more answers
Plz help this is for a school thing uh ye- Idk what I'm supposed to put here
tester [92]

Answer:

2. >

3. 15

4. 19

Step-by-step explanation:

irl bruh............Really?

4 0
3 years ago
Read 2 more answers
Other questions:
  • The area of a trapezoid is 39 square millimeters. The height of the trapezoid is 6 millimeters. One of the base lengths of the t
    10·1 answer
  • Which is a solution of the inequality 5≤−4x−65≤−4x−6?
    5·1 answer
  • The volume of 10 drops of a liquid is 0.01 fluid ounce. What is the volume of 1000 drops?
    7·1 answer
  • What is the value of x in x + 129 = 237?
    5·2 answers
  • Picture is attached, please explain answer
    10·1 answer
  • 3 x -2 x 4 x -3=<br> process !!!
    15·1 answer
  • Plz help I will give brainliest!
    11·2 answers
  • Ramona is asked to draw a tree using a scale of 1 inch 3 meters she draws a 4 inch tree. How tall is the tree
    13·1 answer
  • The equation (x - h)^2 + (y - k)^2 = r^2? defines a circle with radius r and center (h, k). Find the center and radius AND graph
    12·1 answer
  • Determine if 0.59136363636363636... is rational or irrational and give a reason for<br> your answer
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!