Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation sin(x)=0
-
Equation x^2=-5
-
Equation (x^2+4)/x=0
-
Equation tanx=-sqrt(3)
- Express {x} in terms of y where:
- sqrt((1-x)^2+(4-y)^2)=0
- cosx+cosy=1x+y=2n
- (3x+2)(y+x^2-4)=0
- ((9409-x^2)(x^2-5329))^0.5-((7921-x^2)(x^2-6241))^0.5=((28561-y^2)(y^2-1))^0.5-((289-y^2)(y^2-49))^0.5
- 4*x+2*y
-
Identical expressions
- four *x+ two *y= eight
- 4 multiply by x plus 2 multiply by y equally 8
- four multiply by x plus two multiply by y equally eight
- 4x+2y=8
-
Similar expressions
- 4*x-2*y=8
- 4x+2y=-2
4*x+2*y=8 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
Looking for similar summands in the left part:
Move the summands with the other variables
from left part to right part, we given:
$$4 x = 8 - 2 y$$
Divide both parts of the equation by 4
We get the answer: x = 2 - y/2
4*x+2*y = 8
Looking for similar summands in the left part:
2*y + 4*x = 8
Move the summands with the other variables
from left part to right part, we given:
$$4 x = 8 - 2 y$$
Divide both parts of the equation by 4
x = 8 - 2*y / (4)
We get the answer: x = 2 - y/2
The graph
Rapid solution
[src]
re(y) I*im(y)
x1 = 2 - ----- - -------
2 2
$$x_{1} = - \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + 2$$
x1 = -re(y)/2 - i*im(y)/2 + 2
Sum and product of roots
[src]
sum
re(y) I*im(y)
2 - ----- - -------
2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + 2$$
=
re(y) I*im(y)
2 - ----- - -------
2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + 2$$
product
re(y) I*im(y)
2 - ----- - -------
2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + 2$$
=
re(y) I*im(y)
2 - ----- - -------
2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + 2$$
2 - re(y)/2 - i*im(y)/2