Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation (2*x-6)^2-4*x^2=0
-
Equation x^3+9*x^2+27*x+27=0
-
Equation x^2-7*x+6=0
-
Equation x^2+3x+1=0
- Express {x} in terms of y where:
- -20*x+6*y=-12
- -11*x+16*y=-5
- -12*x-9*y=-3
- -6*x-2*y=7
- Integral of d{x}:
- ctgx
- Derivative of:
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ctgx
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Identical expressions
- ctgx=o
- ctgx equally o
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Similar expressions
- ctg(x)=x/0.234
- 1-tg^2(x)=-(tg(x)-5ctg(x))×tg(2x)
- ctg(x+180°/5)=1
ctgx=o equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\cot{\left(x \right)} = o$$
transform
$$- o + \cot{\left(x \right)} - 1 = 0$$
$$- o + \cot{\left(x \right)} - 1 = 0$$
Do replacement
$$w = \cot{\left(x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$- o + w = 1$$
Move the summands with the other variables
from left part to right part, we given:
$$w = o + 1$$
We get the answer: w = 1 + o
do backward replacement
$$\cot{\left(x \right)} = w$$
substitute w:
$$\cot{\left(x \right)} = o$$
transform
$$- o + \cot{\left(x \right)} - 1 = 0$$
$$- o + \cot{\left(x \right)} - 1 = 0$$
Do replacement
$$w = \cot{\left(x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$- o + w = 1$$
Move the summands with the other variables
from left part to right part, we given:
$$w = o + 1$$
We get the answer: w = 1 + o
do backward replacement
$$\cot{\left(x \right)} = w$$
substitute w:
The graph
Rapid solution
[src]
x1 = I*im(acot(o)) + re(acot(o))
$$x_{1} = \operatorname{re}{\left(\operatorname{acot}{\left(o \right)}\right)} + i \operatorname{im}{\left(\operatorname{acot}{\left(o \right)}\right)}$$
x1 = re(acot(o)) + i*im(acot(o))
Sum and product of roots
[src]
sum
I*im(acot(o)) + re(acot(o))
$$\operatorname{re}{\left(\operatorname{acot}{\left(o \right)}\right)} + i \operatorname{im}{\left(\operatorname{acot}{\left(o \right)}\right)}$$
=
I*im(acot(o)) + re(acot(o))
$$\operatorname{re}{\left(\operatorname{acot}{\left(o \right)}\right)} + i \operatorname{im}{\left(\operatorname{acot}{\left(o \right)}\right)}$$
product
I*im(acot(o)) + re(acot(o))
$$\operatorname{re}{\left(\operatorname{acot}{\left(o \right)}\right)} + i \operatorname{im}{\left(\operatorname{acot}{\left(o \right)}\right)}$$
=
I*im(acot(o)) + re(acot(o))
$$\operatorname{re}{\left(\operatorname{acot}{\left(o \right)}\right)} + i \operatorname{im}{\left(\operatorname{acot}{\left(o \right)}\right)}$$
i*im(acot(o)) + re(acot(o))