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
Zarrin [17]
3 years ago
6

What are the solutions of the equation x^2+4x=96

Mathematics
1 answer:
Degger [83]3 years ago
5 0
X² + 4x = 96

Subtract 96 from both sides to get the equation equal to zero:
x² + 4x - 96 = 0

We can solve for x either by factoring or by using the Quadratic Formula. Let's attempt to factor first. To factor, find two numbers whose sum is 4 and whose product is -96. Since 96 is negative, the pair will be one positive and one negative (a positive times a negative is always negative). Let's start listing addends of 4 and calculating their product.

12 + (-8) = 4; 12 × (-8) = -96

The pair is 12 and -8. The factored polynomial is (x + 12)(x - 8). To find x, find the zeros.

x + 12 = 0
x = -12

x - 8 = 0
x = 8

Answer:
x = -12 and x = 8
You might be interested in
Twice the quotient of a number and -24 is -8 Find the number.<br><br> The number is ________.
Klio2033 [76]

Answer: The number should be 6

4 0
2 years ago
What is the solution set to the inequality 5(x – 2)(x + 4) &gt; 0
Fittoniya [83]
<span>5(x – 2)(x + 4) > 0
  (5x-10)(x+4)>0
   6x -6  > 0 
        +6  +6
       6x >
</span>x<-4 or x>2
7 0
3 years ago
What is the radius of a circle whose equation is x^2+y^2-10x+6y + 18=0
rjkz [21]

Answer:

Explanation:

We must write this equation in the form

(

x

−

a

)

2

+

(

y

−

b

)

2

=

r

2

Where

(

a

,

b

)

are the co ordinates of the center of the circle and the radius is

r

.

So the equation is

x

2

+

y

2

−

10

x

+

6

y

+

18

=

0

Complete the squares so add 25 on both sides of the equation

x

2

+

y

2

−

10

x

+

25

+

6

y

+

18

=

0

+

25

=

(

x

−

5

)

2

+

y

2

+

6

y

+

18

=

0

+

25

Now add 9 on both sides

(

x

−

5

)

2

+

y

2

+

6

y

+

18

+

9

=

0

+

25

+

9

=

(

x

−

5

)

2

+

(

y

+

3

)

2

+

18

=

0

+

25

+

9

This becomes

(

x

−

5

)

2

+

(

y

+

3

)

2

=

16

So we can see that the centre is

(

5

,

−

3

)

and the radius is

√

16

or 4

6 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.
charle [14.2K]

Hi there!

We know that RST is an equilateral(all 3 sides the same length) triangle, and is therefore equiangular(all 3 angles the same value).  Therefore, angle S and is equal to one-third of the triangle's angle measure.  

180/3=60

60=7x+4

56=7x

x=8

-AwesomeRepublic  :)

4 0
3 years ago
Read 2 more answers
If WXYZ is a kite, then the m
Greeley [361]

Answer:  So,. The sum of the measures of the angles of a quadrilateral is 360. Let m∠J = m∠K = x. ... CCSS SENSE-MAKING If WXYZ is a kite, find each measure. 24. YZ.

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • 9/5 times a number plus 6 is 51 ?
    8·2 answers
  • The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:
    9·2 answers
  • A company distributes college logo sweatshirts and sells them for $50 each. The total cost function is linear, and the total cos
    14·1 answer
  • I have 30 minutes to complete this and im stuck so pls help out
    13·2 answers
  • Find the missing term in the following pattern.<br><br><br> 1984, 992, 496, blank space, 124, 62
    13·2 answers
  • Matthew is starting his own landscaping business. Matthew thinks he can
    7·1 answer
  • Improper fraction that equals 2 5/8
    5·1 answer
  • there were 6 inche of snow on the street.After a storm, the snow increased by 2/3 of the original amount. After a sunny day, 2/3
    13·1 answer
  • Solve this equation -4 + x = 9
    13·1 answer
  • A computer is used to generate passwords made up of numbers 0 through 9 and lowercase letters. The computer generates 400 passwo
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!