Mister Exam
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How to use it?
- Equation:
-
Equation 20-7(5x-4)=6
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Equation ctg(x)=-5
- Equation ctgx/3-1=0
- Equation √cos(2x)-sin(5x)=-2cosx
- Express {x} in terms of y where:
- 15*x-17*y=19
- 9*x-8*y=6
- 15*x+15*y=16
- -4*x+18*y=-14
- Derivative of:
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ctg(x)
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-5
- Integral of d{x}:
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ctg(x)
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-5
- Graphing y =:
- ctg(x)
- -5
-
Identical expressions
- ctg(x)=- five
- ctg(x) equally minus 5
- ctg(x) equally minus five
- ctgx=-5
-
Similar expressions
- (y^3+4y^2-6)-(5y-y^3+6)=2y^3+4y^2+y
- ctg(x/2)=√3
- ctgx/3-1=0
- ctgx=-√3
- ctg(x)=+5
ctg(x)=-5 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\cot{\left(x \right)} = -5$$
transform
$$\cot{\left(x \right)} + 5 = 0$$
$$\cot{\left(x \right)} + 5 = 0$$
Do replacement
$$w = \cot{\left(x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = -5$$
We get the answer: w = -5
do backward replacement
$$\cot{\left(x \right)} = w$$
substitute w:
$$\cot{\left(x \right)} = -5$$
transform
$$\cot{\left(x \right)} + 5 = 0$$
$$\cot{\left(x \right)} + 5 = 0$$
Do replacement
$$w = \cot{\left(x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = -5$$
We get the answer: w = -5
do backward replacement
$$\cot{\left(x \right)} = w$$
substitute w:
Sum and product of roots
[src]
sum
-acot(5)
$$- \operatorname{acot}{\left(5 \right)}$$
=
-acot(5)
$$- \operatorname{acot}{\left(5 \right)}$$
product
-acot(5)
$$- \operatorname{acot}{\left(5 \right)}$$
=
-acot(5)
$$- \operatorname{acot}{\left(5 \right)}$$
-acot(5)
Numerical answer
[src]
x1 = -15.9053588277988
x2 = 28.0769383224583
x3 = 78.342420779895
x4 = 72.0592354727154
x5 = -9.62217352061926
x6 = -59.887655978056
x7 = 50.0680868975868
x8 = 24.9353456688685
x9 = -97.5867678211335
x10 = 2.94419709373991
x11 = 100.333569355023
x12 = -1511.30346193654
x13 = -81.8788045531845
x14 = 34.3601236296378
x15 = 56.3512722047664
x16 = 6.08578974732971
x17 = -3.33898821343967
x18 = 12.3689750545093
x19 = -56.7460633244662
x20 = -34.7549147493376
x21 = -37.8965074029274
x22 = 94.0503840478439
x22 = 94.0503840478439
The graph