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
telo118 [61]
3 years ago
14

The sum of the squares of two consecutive even integers is 452. find the two integers.

Mathematics
2 answers:
atroni [7]3 years ago
6 0
Hii

I m here to help u!!!


Let the two consecutive even integers are:-
x and x+2

according to the question ,we have
x^2 + (x+2)^2 =452
2x^2 + 4 + 4x =452
x^2 +2x -224=0

Now splitting the middle terms
x^2 + 16x -14x -224=0
we get
x=14
So the integers are 14 and 16.

I Hope it helps you!
Aleks [24]3 years ago
4 0
Hi there! We can create a number equation to find your solution. Already, we know that two consecutive integers can be represented by x+x+1. All we have to do is square that expression and make it equal to 452. This gives us:
(x)^{2} +(x+1)^{2} =452
We can simplify that down to 2x^{2}+4x+4 =452. Now, we can subtract 452 from both sides to make the whole left side equation equal to zero. Doing that gives us 2x^{2}+4x-448=0. We see that 2 can be factored out of the whole equation, giving us 2(x^{2}+2x-224)=0. Next, we can factor the equation to get (x-16)(x+14)=0. We can use the Zero Product Property to find the x values of -16 and 14. Therefore, the two integers are -16 and 14. Hope this helped!
You might be interested in
Need quick help with this math best answer gets brainliest
frosja888 [35]

\frac{1}{2} x+6(x+15)=12\\\\\frac{1}{2} x+6x+90=12\\\\6\frac{1}{2} x+90=12\\6\frac{1}{2} x=-78\\x=-12

y=x+15\\y=-12+15\\y=3

6 0
3 years ago
Use a proportion to find the missing side length in the following similar figures.
jasenka [17]
D because i did this alreadyyy
5 0
3 years ago
Estimate:________<br>74,529<br>- 38453​
kiruha [24]

Answer:

35,000?

Step-by-step explanation:

3 0
3 years ago
Type &lt; = to mean &lt;
Natalija [7]

Answer:

He added $25 to the contents of his wallet.

Step-by-step explanation:

Here's what's happening, symbolically:

$6 + m = $31, or m = $25.  Jake added $25 (represented by m) to the contents of his wallet.

4 0
3 years ago
How to simplify 10/24
Rama09 [41]

divide both denomonator and numerator by 2 so you get 5/12

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is 1/6 of 11/12?
    14·2 answers
  • The sum of the first 1 million primes is N. Without knowing N's value, one can determine that the ones'digit of N cannot be
    11·1 answer
  • An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of "2
    8·1 answer
  • Which sequence of rigid transformations will map the preimage ABC onto image A'B'C' ?
    14·1 answer
  • Select the slope (m) and y-intercept (b). 2x+y=4
    8·1 answer
  • A bean plant grows at a constant rate for a month. After 10 days, the plant is
    5·1 answer
  • Leonel runs on different trails near his home for exercise. uses of positioning device to record how far from home he is when he
    13·1 answer
  • Plz help! will give brainliest!!!
    5·1 answer
  • Find the value of x. Give reasons to justify your solution-
    6·2 answers
  • A, b birer sayı olmak üzere a. b =12 ise a+b nin en büyük ve en küçük değerini bulunuz?​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!