Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation sin(x)=cos(x)
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Equation cos(x/2)=1/2
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Equation sin(x)=√3/2
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Equation sin(x)=1,5
- Express {x} in terms of y where:
- xy^1=y+x*sin(y/x)
- sqrt(x)*sin(y/x)=0
- 12*10^(-30)-0,1884*10^12*x^2-y(0,3768*10^12*x+1,183152*10^12*x^3)+y^2(2,760688*10^24*x^2)=0=0
- (x^2+y^2)×(x+y-3)=2xy
- 4x+2y
- Canonical form:
- 4x+2y
- Sum of series:
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-2
- Integral of d{x}:
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-2
- Derivative of:
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-2
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Identical expressions
- 4x+ two y=-2
- 4x plus 2y equally minus 2
- 4x plus two y equally minus 2
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Similar expressions
- 2*x^2+4*x+2*y^2-8*y+7=0
- (4*x+2*y)-6*x=18
- 7*(2*x-3*y)-3*(4*x+2*y)=0
- 4x-2y=-2
- 4(x+2y)-8=5x-2
- 4x+2y=+2
4x+2y=-2 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:
$$4 x = - 2 y - 2$$
Divide both parts of the equation by 4
We get the answer: x = -1/2 - y/2
4*x+2*y = -2
Looking for similar summands in the left part:
2*y + 4*x = -2
Move the summands with the other variables
from left part to right part, we given:
$$4 x = - 2 y - 2$$
Divide both parts of the equation by 4
x = -2 - 2*y / (4)
We get the answer: x = -1/2 - y/2
The graph
Sum and product of roots
[src]
sum
1 re(y) I*im(y) - - - ----- - ------- 2 2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} - \frac{1}{2}$$
=
1 re(y) I*im(y) - - - ----- - ------- 2 2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} - \frac{1}{2}$$
product
1 re(y) I*im(y) - - - ----- - ------- 2 2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} - \frac{1}{2}$$
=
1 re(y) I*im(y) - - - ----- - ------- 2 2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} - \frac{1}{2}$$
-1/2 - re(y)/2 - i*im(y)/2
Rapid solution
[src]
1 re(y) I*im(y)
x1 = - - - ----- - -------
2 2 2
$$x_{1} = - \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} - \frac{1}{2}$$
x1 = -re(y)/2 - i*im(y)/2 - 1/2