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
Tpy6a [65]
3 years ago
13

Find all complex solutions of 5x^2+5x+3=0.

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

5x² + 5x + 3 = 0 ← in standard form

with a = 5 , b = 5 , c = 3

Solve using the quadratic formula

x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}

  = \frac{-5+/-\sqrt{5^2-(4(5)(3)} }{2(5)}

  = \frac{-5+/-\sqrt{25-60} }{10}

  = \frac{-5+/-\sqrt{-35} }{10}

  = \frac{-5+/-\sqrt{-1(35)} }{10}

 = \frac{-5+/-i\sqrt{35} }{10}

Then

x = \frac{-5}{10} ± \frac{1}{10} i\sqrt{35} , that is

x = - \frac{1}{2} - \sqrt{x} \frac{1}{10} i\sqrt{35} , - \frac{1}{2} + \frac{1}{10} i\sqrt{35}

You might be interested in
Emily spent $55 from her savings account on a new dress explain how to describe the change in emilys savings balance in two diff
mote1985 [20]
You can either express the decrease that happened in the account savings by integers. To do this you simply subtract 55$ from the initial amount in the account. This is expressed as:
initial amount - 55$

or, you can express the decrease in the form of percentage by calculating how much is 55$ from the total amount. This is expressed as:
(5/initial amount) x 100
8 0
3 years ago
3m-5p=12 solve for p
umka21 [38]
3m - 5p = 12

3m(-3m) -5p = (-3m)+ 12
-5p = -3m + 12
(-5)/-5p = (-5)/ (-3m + 12)
p = 3/5m + 12/-5
5 0
3 years ago
Read 2 more answers
Please help don’t understand
JulijaS [17]
The angles opposite equal sides are also equal. The sum of angles in a triangle is 180. So 2x + 27 + 2x + 27 + 3x + 28 = 180.

7x + 82 = 180
7x = 98
x = 14

Now plug x into each angle to find their measures.
6 0
3 years ago
Im running out of time Somebody help me out please ​
kobusy [5.1K]

Answer:

3, 4, and 5

Step-by-step explanation:

To put it simply, 3 + 4 + 5 = 12 and the numbers are consecutive, next to each other.

The method:

The three consecutive numbers could be called x, x + 1, and x + 2 and we know that x + x + 1 + x + 2 = 12

This can be simplified to 3x + 3 = 12. Next, subtract 3 from both sides to get 3x = 9. Now, divide both sides by 3 to get x = 3.

This means that the first number is 3 and the other numbers are 4 (3 + 1) and 5 (3 + 2).

Hope this helps!

8 0
3 years ago
Read 2 more answers
I need help please im only in the 7th grade &’ i don’t know what to do !
dedylja [7]

Answer: In the chart, put 6 in place of the question mark.

The equation should be something like w = 2/3 p

W is the number of quarts of water. P is the number of quarts of Pineapple juice.

This week they will need 3 times the previous week so 18 quarts of pineapple juice and 12 quarts of sparkling water.

Step-by-step explanation:

If the basic recipe is 2 water to 3 juice, and they used 4 quarts if water, you can see that is <u>double the amount of</u> water so you need <u>double the amount  </u> of juice. 2 times 3 is 6.

<em>Unit rate</em> means for ONE quart of juice, how much sparkling water is used. that should be  1 Pineapple Juice for 2/3 Sparkling water

OR

for EACH quart of sparkling water, how much juice do you need.

that would be 1 unit of Sparkling Water for 1 1/2 units of Pineapple Juice

4 0
3 years ago
Other questions:
  • Nits.<br> What is the length of segment TV?<br> 14 units<br> 19 units<br> 38 units<br> 50 units
    6·1 answer
  • Show three ways to make $20 .Use tally marks to record the bills.
    13·1 answer
  • A line passes through (−1, 5)(−1, 5) and (1, 3)(1, 3). which answer is the equation of the line? x y = 4 x y = 2 x 2y = 5 x 2y =
    12·1 answer
  • Out of 400 applicants for a job, 179 are female and 72 are female and have a graduate degree. Step 2 of 2 : If 118 of the applic
    13·1 answer
  • Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot i
    6·1 answer
  • The average distance from sun to venus is 67237910 miles. The average distance from the sun to Earth is 92955807 miles. Which st
    13·1 answer
  • Which three numbers are greater then 0.716 and less then 0.9
    13·1 answer
  • Find the minimum value of C=x+3y
    11·1 answer
  • Solve 2x−3y=6 for y can someone help me plz
    14·1 answer
  • The height of a projectile launched upward at a speed of 25 meters/second from a height of 70 meters is given by the function h(
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!