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trasher [3.6K]
3 years ago
7

What are the solutions of 3x2 - x + 7 = 0?

Mathematics
2 answers:
torisob [31]3 years ago
4 0

Answer:

x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184

x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184

Step-by-step explanation:

Minchanka [31]3 years ago
4 0

3x2-x+7=0  

Two solutions were found :

x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184i

x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184i

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Solve the given differential equation by undetermined coefficients. y'' 4y = 7 sin(2x)
kherson [118]

The solution to the given differential equation is yp=−14xcos(2x)

The characteristic equation for this differential equation is:

P(s)=s2+4

The roots of the characteristic equation are:

s=±2i

Therefore, the homogeneous solution is:

yh=c1sin(2x)+c2cos(2x)

Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:

yp=Axsin(2x)+Bxcos(2x)

If you take the second derivative of the equation above for  yp , and then substitute that result,  y′′p , along with equation for  yp  above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side,  sin(2x) , you will find:

A=0

B=−14

Therefore,

yp=−14xcos(2x)

For more information about differential equation, visit

brainly.com/question/18760518

8 0
2 years ago
Find the perimeter and the area of the polygon with the given vertices.
Mariulka [41]

Answer:

Step-by-step explanation:

TU , UV , VW, TW are the sides

As points T and U have same x-coordinate, length of TU will be given by the difference of y-coordinate

TU = 9 - 7 = 2 units

As points U and V have same y-coordinate, length of UV will be given by the difference of x-coordinate

UV = 5 - 2 = 3 units

As points V and W have same x-coordinate, length of VW will be given by the difference of y-coordinate

VW = 9 -7 = 2 units

As points W and T have same y-coordinate, length of WT will be given by the difference of x-coordinate

WT = 5 - 2 = 3 units

TU = VW = 2 units

UV = WT = 3 units

So, TUVW is a rectangle

Area = length *width = 3* 2 = 6 square units

Perimeter = 3 + 2 + 3 + 2 = 10 units

8 0
3 years ago
Solve for z.<br> -P(51+z) = dz +84
Nataly [62]
The answer for Z is 47
8 0
3 years ago
Which system of equations models the following problem if x represents the number of angelfish Nancy bought and y represents the
masha68 [24]

Answer:

the answer is c

Step-by-step explanation:

5 0
3 years ago
System by Substitution <br><br> -3x-3y= -12<br> Y=0
alex41 [277]
Substitute the 0 in for y:
-3x - 3(0) = -12
-3x - 0 = -12
-3x = -12

Divide by -3:
-12/-3= 4

Answer:
x = 4

7 0
3 years ago
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