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
tino4ka555 [31]
3 years ago
6

Okie hat are the solutions of X^2-2x+5=0

Mathematics
1 answer:
pashok25 [27]3 years ago
5 0
The solution of are 1 + 2i and 1 – 2i
Solution:
Given, equation is
We have to find the roots of the given quadratic equation
Now, let us use the quadratic formula
--- (1)
Let us determine the nature of roots:
Here in a = 1 ; b = -2 ; c = 5

Since , the roots obtained will be complex conjugates.
Now plug in values in eqn 1, we get,

On solving we get,



we know that square root of -1 is "i" which is a complex number

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i
You might be interested in
8. Of the 400 employees, 5% of them are managers. How many managers does the zoo employ?​
evablogger [386]
Zoo will hires 8 managers
5 0
2 years ago
Sadiq measured the dimensions of a 1 kg bag of sugar and found the length was 9.2 cm, the width was 6 cm and the height was 14.1
garik1379 [7]

Answer:

d=1.28\times 10^{-6}\ g/cm^3

Step-by-step explanation:

The mass of a bag of sugar, m = 1 kg = 0.001 g

Length of bag, l = 9.2 cm

Width of bag, b = 6 cm

Height of the bag, h = 14.1 cm

We need to find the density of the sugar bag.

Density = mass/volume

So,

d=\dfrac{0.001\ g}{9.2\times 6\times 14.1\ cm^3}\\\\d=1.28\times 10^{-6}\ g/cm^3

So, the density of the bag is 1.28\times 10^{-6}\ g/cm^3.

7 0
2 years ago
The accompanying data on x = current density (mA/cm2) and y = rate of deposition (m/min)μ appeared in a recent study.
gtnhenbr [62]

Answer:

a) r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857  

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

b) m=\frac{64.5}{2000}=0.03225  

Now we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50  

\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425  

b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27  

So the line would be given by:  

y=0.3225 x -0.27  

Step-by-step explanation:

Part a

The correlation coeffcient is given by this formula:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=4 \sum x = 200, \sum y = 5.37, \sum xy = 333, \sum x^2 =12000, \sum y^2 =9.3501  

r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857  

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

Part b

m=\frac{S_{xy}}{S_{xx}}  

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=12000-\frac{200^2}{4}=2000  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=333-\frac{200*5.37}{4}=64.5  

And the slope would be:  

m=\frac{64.5}{2000}=0.03225  

Now we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50  

\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425  

And we can find the intercept using this:  

b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27  

So the line would be given by:  

y=0.3225 x -0.27  

4 0
3 years ago
bianca is building a sandbox that will hold 4 cubic yards of sand. she wants it to be 18 inches deep and 2 yards wide. what will
tamaranim1 [39]
Length should be 2/5yd:

18inch*1yd/36inch=.5yd=> depth

volume= 2(length*width+lenght*depth+depth*width)

let l to be the length.

volume= 2(l*2+2(.5)+.5*2)

volume=5l+2

4=5l+2

2=5l

l=2/5


5 0
3 years ago
Find the gross pay per paycheck based on salary
BaLLatris [955]

Answer:

Where is the info so we can show you

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Whats the answer to -3/4=x-6
    9·1 answer
  • Lynn has a watering can that holds 16 cups of water, and she fills it half full. Then she waters her 15 plants so that each plan
    7·1 answer
  • 2 3/4 gallons =_________1/2 gallon<br><br><br><br>please show work
    14·1 answer
  • Find the coordinates of point E if C is the midpoint of AE A has the coordinates of (-3,1) C has the coordinates of (-2,-1)
    8·1 answer
  • What are the solutions to the equation y2 – 1 = 48?
    9·2 answers
  • Find the sum of the first 35 terms in this geometric series:<br> 8- 12 +18...
    14·1 answer
  • 9. The Brightline train travels 204 miles in 3 hours, moving at a constant
    12·1 answer
  • I don’t understand these type of questions
    9·1 answer
  • A man needed to sell a car. He priced it at 3500 the first day. The second day he reduced the price by 15%. What was the price o
    7·1 answer
  • If two angles are complementary and one angle is 89º what is the measure of the other angle?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!