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
Pani-rosa [81]
3 years ago
6

The square of a positive number decreased by twice the number is 48. Find the number

Mathematics
2 answers:
o-na [289]3 years ago
8 0
X^2=2x+48
x^2-2x-48=0
(x-8)(x+6)=0
x=8 x=-6
x must be negative so x=-6
check 
36=48+-12
36=36
KIM [24]3 years ago
6 0

Let the required positive number is x.

The square of the number is x^2

Now, we have been given that square of a positive number decreased by twice the number. It means we have

x^2-2x

Now, it is equal to 48. Hence, we have

x^2-2x=48\\
x^2-2x-48=0\\
x^2-8x+6x-48=0\\
x(x-8)+6(x-8)\\
(x-8)(x+6)=0\\
x=8,-6

The number is positive, Hence, we have x=8

Therefore, the required number is 8

You might be interested in
What numbers can give me 8 when added and 30 when multiplied
Paul [167]
In this problem, it is important to take note that the number of numbers to be utilized isn't specified so it can be up to a thousand numbers. It wasn't also specified if repeating of numbers is allowed or not. So with those taken into consideration and the condition presented in mind, the numbers that can give you 8 when added and 30 when multiplied are 2, 3, 5, -1, and another -1. The derivation from this is mainly from factorization and a little bit of logic.

here is the solution.

2 x 3 x 5 x -1 x -1 = 30
6 x 5 x -1 x -1 = 30
30 x -1 x -1 = 30
-30 x -1 = 30
30 = 30

2 + 3 + 5 + -1 + -1 = 8
5 + 5 + -1 + -1 = 8
10 + -1 + -1 = 8
9 + -1 = 8
8 = 8
7 0
3 years ago
Help with number 3 and 4 im stuck
Sonbull [250]
1.5,1.25,1.75,3.5 for number 3

8 0
3 years ago
Marriana buys 3 3/4 feet of rope. How many inches of rope does she buy?
SVEN [57.7K]

Answer:

45

Step-by-step explanation:

4 0
3 years ago
GUYS PLEASE SOMEBODY ANSWER THIS AS QUICK AS POSSIBLE I WILL GIVE YOU 50 POINTS
sergiy2304 [10]

Answer:

part A: 30,000 is more

Step-by-step explanation:

3 0
3 years ago
Find the arc length of the semicircle. Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a d
inna [77]

Answer:

hope this helps you

7 0
3 years ago
Other questions:
  • The bottom of Ignacio's desktop is 74.5\,\text{cm}74.5cm74, point, 5, space, c, m from the floor. Ignacio sits in his adjustable
    11·1 answer
  • WORTH 20 PTS.
    8·1 answer
  • I can use some help guys I don’t want to fail pleaseee help greatly appreciated
    12·2 answers
  • How to find mean and standard deviation for binomial distribution?
    10·1 answer
  • Two angles with the sum of 90 degrees picture
    14·2 answers
  • Line l is parallel to line e in the figure below.
    9·2 answers
  • Could someone help me?
    9·1 answer
  • Use synthetic division with the factor x + 1 to completely factor LaTeX: x^3+2x^2-5x-6x 3 + 2 x 2 − 5 x − 6.
    9·1 answer
  • Roy drives a sedan that gets mileage of 30 miles per gallon. If fuel consumption is represented by g and mileage by m, which fun
    11·1 answer
  • A grocery store stocks shelves with 100 cartons of strawberries before the store opens. For the first 3 hours the store is open,
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!