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
kobusy [5.1K]
3 years ago
7

Find four consecutive positive integers such that the product of the first and fourth is four less than twice the first multipli

ed by the fourth.
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
3 0
Four consecutive integers... n, n+1, n+2, n+3.

The product of the 1st and 4th is four less than twice the 1st multiplied by the 4th.

n(n+3)=2n(n+3)-4  perform indicated multiplications...

n^2+3n=2n^2+6n-4  subtract n^2 from both sides

3n=n^2+6n-4  subtract 3n from both sides

n^2+3n-4=0  factor

n^2-n+4n-4=0

n(n-1)+4(n-1)=0

(n+4)(n-1)=0, and since n>0

n=1

So the four numbers are 1, 2, 3, 4

check...

1(4)=2(1)4-4

4=8-4

4=4
You might be interested in
Y=2(x+1)^2 has how many real roots
oee [108]

The equation y= 2(x+1)^2 has one real root and that is x=-1.

What is real roots of the equation?

    We are aware that when we resolve a linear or quadratic equation, we always arrive at the value variable of the equation, or, to put it another way, we always locate the equation's solution. This "solution" is what we refer to as the real roots. For instance, when the equation X^2-7x+12=0 is solved, the actual roots are 3 and 4.

Here given,

=> y = 2(x+1)^2

Take y=0 then,

=> 2(x+1)^2=0

=> (x+1)^2=0

=>(x+1)=0

=> x=-1

Hence the given equation has one real root and that is x=-1.

To learn more about real roots refer the below link

brainly.com/question/24147137

#SPJ1

8 0
1 year ago
Read 2 more answers
24. Sam, Sonny and Sal are camping in their tents. If the distance between Sam and
AnnZ [28]

Answer:

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which equation could he have solved? Is it A or B
Artist 52 [7]
A or B ....it’s your choice
7 0
2 years ago
PLEASEEE HELP ME I NEED THIS ASAP
Pavel [41]

Answer:

The fourth option is the correct answer

Step-by-step explanation:

The given expression is

-2n(5+n-8-3n)

Given that n=3,We substitute the value of n into the expression and simplify.

This implies that,

-2n(5+n-8-3n)=-2(3)[5+3-8-3(3)]

=-6(5+3-8-9)

=-6(-9)

=54

Hence the answer is 54

6 0
3 years ago
Read 2 more answers
3.
lana66690 [7]

Answer:

a

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • recycled cds incorporated, offers a choice of 5 used cds for $26, with each additional cd costing $4. write a cost function for
    10·1 answer
  • Need help <br> Two-step equations <br> x/4+8=3
    15·2 answers
  • to solve x+11=23,Jasmine subtracted 11 from both sides of the equation. which property justifies this step?
    5·2 answers
  • Which step is included in the construction of perpendicular lines using a point on the line
    10·1 answer
  • PLEASEEE HELP :)))
    5·1 answer
  • A physician's assistant measures a child and finds his height is 41 in.
    15·1 answer
  • Jason enjoys watching the squirrels in his neighborhood park. They eat the red oak acorns. After the city removed 4 diseased red
    11·1 answer
  • WILL UPVOTE!<br> Factor the expression.<br> 4r^2 − 49 =
    15·1 answer
  • A line passes through the point (6,-5) and has a slope of -5/2.
    9·1 answer
  • 4000 / 19=<br>4000 / 19=​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!