What is Simultaneous equations: Definition and 125 Discussions
In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. An equation system is usually classified in the same manner as single equations, namely as a:
System of linear equations,
System of nonlinear equations,
System of bilinear equations,
System of polynomial equations,
System of differential equations, or a
System of difference equations
Homework Statement
I am trying to solving the following complex equation for x and \theta
a\sinh(2x) e^{-i\theta} + y\sinh^2x e^{-i2\theta} + y^*\cosh^2(x) = 0
where a is real constant, x and \theta are also real parameter. y is complex number, y^* is the complex conjugate.
Solve for...
Homework Statement
The actual problem shows a graph however I can state all the information. The graph is of a sinusiodal waveform where the amplitude is decaying exponentially. The formula for the graph is given by the equation:
T = Ae-Ktsin(wt + ø)
The question is to find A,K,w and ø...
Hi all, this isn't homework, just doing a bit of revision and I've come to a question I'm stuck on. Thanks for any help!
Homework Statement
A steel ball is resting on a hole in a brass surface, at 15 degrees celsius. The bearing has a diameter of 30mm, and the hole has a diameter at...
Homework Statement
I what to know how I form an equation for the middle loop, as there is no EMF in that part. Or, how do I go about forming the equations? Also, am I right to say that I should have 3 equations?
Homework Equations
http://www.theground.co.uk/CCF18012009_00000.jpg...
A weight of 2 T is supported by a three bar truss. We want to find the forces in the three bars.
(This truss is a 3-4-5 triangle so that sin and cos are either 0.6 or 0.8. See below
Resolving vertically at the top we find 0.8F1 + 0.6 F2 = 2 This is Equation 1
Resolving horizontally at...
[SOLVED] simultaneous equations
Why is it that when solving some simultaneous equations two different ways you can get two different answers? One example is this:
0=-tsin(x)+85.7sin(30) eq. 1
0=-tcos(x)+85.7cos(30)-t eq. 2
I solved these equations in mathematica and got t=49.4789 and x=1.0472...
Homework Statement
It's been a while since I solved these kind of things. I can only remember how to solve 2 simultaneous equations
40x + 40y = 10
-40y -40z = -2
40x - 40z = 8
Homework Equations
NoneThe Attempt at a Solution
Just need a pointer on what method to use.
Hi, I have the following two equations of the form:
A^2 - B^2=hj(k^2) and 2AB=mjk
and I need to get them into the form
A=k.sqrt(hj/2).{sqrt((1)+(m/hk)^2)+1}^(1/2)
and
B=k.sqrt(hj/2).{sqrt((1)+(m/hk)^2)-1}^(1/2)
I've been trying in vain for a while now and its starting to annoy me coz I...
[SOLVED] Simultaneous equations
Homework Statement
Solve: x^2+y^2=10 and 1/x+1/y=4/3
Homework Equations
er... I've tred substituting y=mx into eliminate y
The Attempt at a Solution
I tried squaring the2nd equation to give: 1/x^2+1/y^2+2/xy=16/9
Then I substituted...
Homework Statement x^2+y^2=5, 1/x^2+1/y^2=5/4
The Attempt at a Solution
I have rearranged the 1st equation: x^2=5-y^2
Then substitued this into the 2nd equation: 1/(5-y^2)+1/y^2=5/4
Found a common denominator: 5/(5x^2-x^4)=5/4
Multiply by the denominator...
I'm currently going through some questions and came across quadratic and linear simultaneous equations.
Solve the equation: x + y = 1
x^2 + y^2 = 16
I am not interested in the question itself but rather the explanation the book gives me which says after...
Hi.
I'm working through a Statistics question and have reached two simultaneous equations that I just can't seem to sove. Could someone please help? I'd really appreciate it.
The two equations are:
1.65 - x = -0.5244y
and
1.78 - x = 0.8416y
Thank you.
Cathy
I am trying to find the solutions to the following system over the complex numbers: x^4 + y^4 + z^4 +4xyz - 4x^2 - 4y^2 - 4z^2 +5 =0
4x^3 + 4yz - 8x =0
4y^3 + 4xz - 8y =0
4z^3 + 4xy - 8z =0I calculated the resultant:
xyz - 2x^2 - 2y^2 - 2z^2 +5
which would give a necessary...
Got 4 equations with 4 unknowns and I'm being a retard so I can't figure this thing out.
k, k', alpha and beta are known constants.
A + B = C + D
k(A-B) = k'(C-D)
Ce^{\alpha} + De^{-\alpha} = Fe^{\beta}
k'Ce^{\alpha} - k'De^{-\alpha} = kFe^{\beta}
alpha is ik'L, beta is...
I need some help with this please!
1. given p=logq 16, express in terms of p:
a) logq 2
b) logq (8q)
this is what i got:
a) p= logq16 = logq22
= 4logqqq
=1/4 p
b) p=logq16 =logq8 +logq q
=logq23 + 1
=3logq2 +1
...??
Also can someone please help get me started on these...
Hi,
I have the results from an experiment I carried out and basically I have a formula with 2 unknown variables in it, and 6 sets of data. Because this data is from an experiment it isn't perfect and I was wondering about the method that determines the value of the 2 constants that would best...
Can anyone analytically solve these 2 simultaneous equations for c & d, where a and b are known?
a = sin(c) * cosh(d)
b = cos(c) * sinh(d)
I can eliminate 'c' to get:
(sinh d)^2 = b^2 + (a^2)*(tanh d)^2
but this doesn't seem to make life any easier.
I came across this question once somewhere and I can't seem to get anything:
x^y = 9 , y^x = 8
Solve the simultaneous equations.
Expressing x = 9^{1/y} and then substituting doesn't help much. I get an equation in one variable, but no direct answer.
Again, taking log on both sides doesn't...
hello , just wanted 2 know if there was another method for solving the simultaneous equation other than the matrix,determinant,elimination,substitution,graphical methods .pls let me know
Solving trignometric simultaneous equations...
Hi,
I'm in need of some help solving a set of simultaneous equations which will (hopefully!) solve the inverse kinematics for a robot arm. The equations are as follows:
eq1 := Xu-Xl = -c[4]*L_u2-s[4]*c[5]*L_l*c[6]-c[4]*L_l*s[6]+c[4]*L_u1...
Hello I need help with elastic collisions. I know you have to solve simultaneous equations, but for the problem I'm on, the equation has a power other than one like X2 etc. How do I do this on A TI-83 +? Thank you.
Doug