Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation sin(x)=4
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Equation x^2-x=12
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Equation 9^x-8*3^x-9=0
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Equation (|x+4|)=5
- Express {x} in terms of y where:
- 16*x-17*y=-15
- -7*x-13*y=-12
- -10*x-12*y=-10
- 8*x+1*y=4
-
Identical expressions
- Ctg(x)= seven
- Ctg(x) equally 7
- Ctg(x) equally seven
- Ctgx=7
Ctg(x)=7 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\cot{\left(x \right)} = 7$$
transform
$$\cot{\left(x \right)} - 7 = 0$$
$$\cot{\left(x \right)} - 7 = 0$$
Do replacement
$$w = \cot{\left(x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = 7$$
We get the answer: w = 7
do backward replacement
$$\cot{\left(x \right)} = w$$
substitute w:
$$\cot{\left(x \right)} = 7$$
transform
$$\cot{\left(x \right)} - 7 = 0$$
$$\cot{\left(x \right)} - 7 = 0$$
Do replacement
$$w = \cot{\left(x \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = 7$$
We get the answer: w = 7
do backward replacement
$$\cot{\left(x \right)} = w$$
substitute w:
Sum and product of roots
[src]
sum
acot(7)
$$\operatorname{acot}{\left(7 \right)}$$
=
acot(7)
$$\operatorname{acot}{\left(7 \right)}$$
product
acot(7)
$$\operatorname{acot}{\left(7 \right)}$$
=
acot(7)
$$\operatorname{acot}{\left(7 \right)}$$
acot(7)
Numerical answer
[src]
x1 = -65.8315486707815
x2 = 84.9648987015286
x3 = 66.1153427799898
x4 = -43.8404000956529
x5 = 22.1330456297327
x6 = 88.1064913551184
x7 = -46.9819927492427
x8 = 44.1241942048613
x9 = -87.82269724591
x10 = -21.8492515205244
x11 = 9.56667501537354
x11 = 9.56667501537354