Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2-8*x-9=0
-
Equation 3*x^2-2=5*x
- Equation -x+y-1=0
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Equation 13-6(5x-2)=4
- Express {x} in terms of y where:
- -14*x-10*y=16
- -20*x+2*y=-12
- 1*x-7*y=20
- 4*x-2*y=4
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Identical expressions
- -x+y- one = zero
- minus x plus y minus 1 equally 0
- minus x plus y minus one equally zero
- -x+y-1=O
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Similar expressions
- x+y-1=0
- -x+y+1=0
- -x-y-1=0
-x+y-1=0 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 free summands (without x)
from left part to right part, we given:
$$- x + y = 1$$
Move the summands with the other variables
from left part to right part, we given:
$$- x = 1 - y$$
Divide both parts of the equation by -1
We get the answer: x = -1 + y
-x+y-1 = 0
Looking for similar summands in the left part:
-1 + y - x = 0
Move free summands (without x)
from left part to right part, we given:
$$- x + y = 1$$
Move the summands with the other variables
from left part to right part, we given:
$$- x = 1 - y$$
Divide both parts of the equation by -1
x = 1 - y / (-1)
We get the answer: x = -1 + y
The graph
Rapid solution
[src]
x1 = -1 + I*im(y) + re(y)
$$x_{1} = \operatorname{re}{\left(y\right)} + i \operatorname{im}{\left(y\right)} - 1$$
x1 = re(y) + i*im(y) - 1
Sum and product of roots
[src]
sum
-1 + I*im(y) + re(y)
$$\operatorname{re}{\left(y\right)} + i \operatorname{im}{\left(y\right)} - 1$$
=
-1 + I*im(y) + re(y)
$$\operatorname{re}{\left(y\right)} + i \operatorname{im}{\left(y\right)} - 1$$
product
-1 + I*im(y) + re(y)
$$\operatorname{re}{\left(y\right)} + i \operatorname{im}{\left(y\right)} - 1$$
=
-1 + I*im(y) + re(y)
$$\operatorname{re}{\left(y\right)} + i \operatorname{im}{\left(y\right)} - 1$$
-1 + i*im(y) + re(y)