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garik1379 [7]
3 years ago
10

Solve for x over the complex numbers. x^2+10x+41=0 x=____ or x=____

Mathematics
1 answer:
andrezito [222]3 years ago
8 0
Solve for x:
x^2 + 10 x + 41 = 0
Subtract 41 from both sides:
x^2 + 10 x = -41
Add 25 to both sides:
x^2 + 10 x + 25 = -16
Write the left hand side as a square:
(x + 5)^2 = -16
Take the square root of both sides:
x + 5 = 4 i or x + 5 = -4 i
Subtract 5 from both sides:
x = -5 + 4 i or x + 5 = -4 i
Subtract 5 from both sides:
Answer:  x = -5 + 4 i or x = -5 - 4 i
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If T is the midpoint of SV, ST= x + 4, and TV= 2x - 8, how long is SV?
Rashid [163]

Answer:

The answer to your question is SV = 32

Step-by-step explanation:

Data

T = mid point

ST = x + 4

TV = 2x - 8

SV = ?

Process

1.- If T is the mid point of SV, that means that the distance from ST to SV is the same.

                    ST = TV

2.- Substitution

               x + 4 = 2x - 8

-Solve for x

              x - 2x = -8 - 4

-Simplifying

                   -x = -12

-Result

                    x = 12

3.- Find the length of SV

                  SV = ST + TV

                  SV = x + 4 + 2x - 8

                  SV = 12 + 4 + 2(12) - 8

                  SV = 16 + 24 - 8

                  SV = 40 - 8

                  SV = 32                          

3 0
3 years ago
Kenji buys 3 yards of fabric for $7.47 then he realizes that he needs two more yards how much will the extra fabric cost
Veseljchak [2.6K]
Total price of 3 yards of fabric - 7.47

7.47 / 3 = 2.49

2.49 is how much each yard costs

2.49 * 2 = 4.98

4.98 is how much 2 yards of fabric costs

Kenji would pay $4.98 for two yards of fabric without tax.
8 0
3 years ago
Make sure your answer is in the form of a mixed number 5 * 4/6
galina1969 [7]

Answer:

3\frac{1}{3}

Step-by-step explanation:

5*\frac{4}{6} =\frac{5}{1} *\frac{4}{6}

Multiply the numerators and denominators together:

\frac{20}{6}

Mixed number:

3\frac{1}{3}

3 0
3 years ago
What is the product of (3a + 2)(4a2 - 2a + 9)?
natka813 [3]

Answer:

12a³+2a²+23a+18

Step-by-step explanation:

(3a+2)(4a²-2a+9)=

12a³-6a²+27a+8a²-4a+18=

12a³+2a²+23a+18

If you need more explanation, reply to this answer.

4 0
4 years ago
Many televisions are classified by the length of the diagonal of their screens. A 60 in. television has a screen height of 32 in
castortr0y [4]
Okay 
We know
Height= 32
Diagonal = 60

We Also know a television screen is either a square or rectangle no matter which one, they both can be divided to two triangles. The diagonal remains the same for both triangles and actually all sides has the same measures in both triangles.

Lets use the famous pythagoras formula

K^2+ K ^2 = H^2

So the first K is the Height = 32
The second K we want to find out so it is just K

H will be the Diagonal

So again 32^2+ K^2= 62^2

Now we can solve by

Sorting

1024+ K^2 = 3600

We write the Height and Diagonal as wholenumbers by multiplying 32 with 32 and 60 with 60. 32*32= 1024 and 60*60 = 3600

Now we want K alone

1024 +K^2-1024= 3600-1024

K^2 = 2576

K is still squared we want just K. So Lets find the square root of K. As we say K^2 is the same as 2576 we want to know the square root 2576. That where our answer is

2576 square root= 50,754

So our answer must be 51 inch.

We rounded 50,75 up to 51. This is because The 0,7 has shorter distance to become a 1 than to become a Zero. It has only 0,3 to become 1 while 0,7 to become 0
7 0
4 years ago
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