No.1 | (17*x
- 51)/9 - (-(13*x - 3)/6) + 11 - (9*x - 7)/4 = 0 |
|
... not difficult (actually a
linear equation), but a lot of work. |
No.2 | (3*x
+ 5)/18 - x/2 = -((3*x - 2)/9) |
|
Simplifying the left-side and
the right-side separately shows, that this exation has no solution. |
No.3 | -2/x + 3/(2*x) - 4/(3*x) + 5/(4*x) +
6/(5*x) = 65/8 |
|
...again, this turns out to be
a linear equation, and the following as well ... |
No.4 | (x + 3)/(2*x - 4) = 3 |
No.5 | (1/2 + (5*x)/2)^2 - ((13*x)/2 - 5/2)^2 =
-1*(6*x)^2 + 29 |
No.6 | (5*x)/(x - 2) - x/(x + 2) = 4 |
No.7 | x/(x^2 - 6*x + 9) - 1/(x^2 - 3*x) =1/x |
No.8 | ((x - 1)/(x + 1) + 1) / ((x - 1)/(x + 1) -
(x + 1)/(x - 1)) = 2 |
No.9 | 1/R
= 1/R1+1/R2 , R1 = ? |
|
This equation is well-known in
electro-engineering, for instance. |
No.10 | m1 * v1+ m2 * v2 = 0 , m1 = ? |
No.11 | f
= ((w + u) / (w + v)) * v0 , v = ? |
No.12 | f
= ((w + u) / (w + v)) * v0 , w = ? |
|
... often there is more than
one variable to be made explicit. |
No.13 | y^2 = 2*p*x , p = ? |
No.14 | A = 1/2 * (x1*(y2 - y3) + x2*(y3 - y1) +
x3*(y1 - y2)) , x2 = ? |
No.15 | (x - 4)/(x + 4) = (1 - x)/(1+ x) |
|
This equation is not linear
anymore. |