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
zhuklara [117]
3 years ago
14

X,y and z are three consecutive even numbers if y^2 - 2 = 2x + 5Z find x,y and z​

Mathematics
2 answers:
Sindrei [870]3 years ago
8 0

Answer:

6, 8, 10

Step-by-step explanation:

x, y, z

y=x+2, z= x+4

  • y²- 2= 2x+5z
  • (x+2)²- 2= 2x+ 5(x+4)
  • x²+4x+4-2= 2x+5x+20
  • x²-3x-18=0

Solving the quadratic equation we get:

  • x=6, then y= 8, z= 10
  • x= -3 discarded as odd number

Rama09 [41]3 years ago
6 0

Answer:

6, 8, 10

Step-by-step explanation:

x y and z are three consecutive even numbers

it means that you can write y = x + 2

and z = y + 2 = x + 4

so

  y^2-2=2x+5z\\  (x+2)^2-2=2x+5(x+4)\\x^2+4x+4-2=2x+5x+20

  x^2+4x+2=7x+20\\x^2+4x+2-7x-20=0\\x^2-3x-18=0\\(x+3)(x-6)=0(x=-3\ or \ x=6)

so the solutions are

x = 6

y = 8

x = 10

You might be interested in
Evaluate this expression if r = 2, t = -7, and u = -5<br> 3(r+u)
andreev551 [17]

Answer:

the answer is -9

Step-by-step explanation:

3(2 - 5)

6 - 15

-9

4 0
2 years ago
Read 2 more answers
How do you get 25 for the order of operations
mojhsa [17]
PEMDAS Solve the parentheses first so 9+4=13. Then do the division so 6/6=1. Now the equation is 37- 13+ 1. Then work left to right. 37-13= 24 then 24+1=25.
5 0
3 years ago
Here's an easy question for points: 5 x 2/6 =
Allushta [10]
5 times 2/6 is 10/6
You can simplify that to 5/3
6 0
3 years ago
Read 2 more answers
Use your calculator to work out this equation
alisha [4.7K]

Answer:

2.123842852 is the first answer

for part b it'll be 2.12

hope that helps

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A number is squared. The result is squared, then that result is squared. The final number is 6561. What was the original number?
MissTica

The original number is 3.

I actually began with the guess-and-check method, but seeing as that won't always work, let's go over the formal way. To get the original number, you first need to determine how many times the number was squared.

To make it simple, let's use x to focus on the exponents. The number was squared 3 times, so x^2, x^2, x^2. Basically, you need to multiply. 2 * 2 * 2 = 8. So, now find the 8th root of 6561 (depending on the calculator, you can just input it). You should come up with 3. Let me know if this part confuses you.

To find the next 2 numbers, you just need to continue the pattern.

6561^2 = 43,046,721

43,046,721^2 = 1,853,020,188,851,841

To my knowledge, which means this could be wrong, they're both perfect squares. Since the number to get them both were whole numbers, they should both have a square root that equals a whole number.

3 0
3 years ago
Other questions:
  • 1. What is the area of a rectangular crystal face that has one side measuring
    5·1 answer
  • Subtract. 12.94 - 2.62 (Round your answer to the nearest hundredths place.​
    14·2 answers
  • Mark can paint a room in 3 hours, Frank can paint an identical room in 4 hours. How many hours would it take Mark and Frank to p
    9·1 answer
  • 7/3 of y is 5 5/6<br> pls solve!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • if you increase the number by 4 and double the sum the result you will get will be the same as four times the number decrease by
    12·1 answer
  • Hello everyone can someone answer this question please
    11·1 answer
  • PLEASE HELP ME PLEaSE
    7·2 answers
  • Pls help me with this
    9·2 answers
  • 50 POINTS FOR BRAINLIEST (also $45 prize given on a cash sending app)
    10·2 answers
  • Answerrrrr please to this
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!