5x-6y-17x+9y=0 equation

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You have entered [src]

5*x - 6*y - 17*x + 9*y = 0

$$9 y + \left(- 17 x + \left(5 x - 6 y\right)\right) = 0$$

Simplify

Detail solution

Given the linear equation:

5*x-6*y-17*x+9*y = 0

Looking for similar summands in the left part:

-12*x + 3*y = 0

Move the summands with the other variables
from left part to right part, we given:
$$- 12 x = - 3 y$$
Divide both parts of the equation by -12

x = -3*y / (-12)

We get the answer: x = y/4

The graph

Rapid solution [src]

     re(y)   I*im(y)
x1 = ----- + -------
       4        4

$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{4} + \frac{i \operatorname{im}{\left(y\right)}}{4}$$

x1 = re(y)/4 + i*im(y)/4

Sum and product of roots [src]

sum

re(y)   I*im(y)
----- + -------
  4        4

$$\frac{\operatorname{re}{\left(y\right)}}{4} + \frac{i \operatorname{im}{\left(y\right)}}{4}$$

re(y)   I*im(y)
----- + -------
  4        4

$$\frac{\operatorname{re}{\left(y\right)}}{4} + \frac{i \operatorname{im}{\left(y\right)}}{4}$$

product

re(y)   I*im(y)
----- + -------
  4        4

$$\frac{\operatorname{re}{\left(y\right)}}{4} + \frac{i \operatorname{im}{\left(y\right)}}{4}$$

re(y)   I*im(y)
----- + -------
  4        4

$$\frac{\operatorname{re}{\left(y\right)}}{4} + \frac{i \operatorname{im}{\left(y\right)}}{4}$$

re(y)/4 + i*im(y)/4