Mister Exam
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How to use it?
- Equation:
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Equation 2x=18-x
-
Equation 3-x/7=x/3
-
Equation 1-5*x=-6*x+8
-
Equation x^2-8*x+17=0
- Express {x} in terms of y where:
- -11*x-14*y=-3
- 7*x+20*y=-17
- 4*x-1*y=-3
- 7*x+13*y=-13
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Identical expressions
- arccos(sqrt(fifteen)/ four)=x
- arc co sinus of e of ( square root of (15) divide by 4) equally x
- arc co sinus of e of ( square root of (fifteen) divide by four) equally x
- arccos(√(15)/4)=x
- arccossqrt15/4=x
- arccos(sqrt(15) divide by 4)=x
arccos(sqrt(15)/4)=x equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
/ ____\
|\/ 15 |
acos|------| = x
\ 4 /
$$\operatorname{acos}{\left(\frac{\sqrt{15}}{4} \right)} = x$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Move the summands with the unknown x
from the right part to the left part:
$$- x + \operatorname{acos}{\left(\frac{\sqrt{15}}{4} \right)} = 0$$
Divide both parts of the equation by (-x + acos(sqrt(15)/4))/x
We get the answer: x = acos(sqrt(15)/4)
acos(sqrt(15)/4) = x
Expand brackets in the left part
acossqrt/4+15/4) = x
Move the summands with the unknown x
from the right part to the left part:
$$- x + \operatorname{acos}{\left(\frac{\sqrt{15}}{4} \right)} = 0$$
Divide both parts of the equation by (-x + acos(sqrt(15)/4))/x
x = 0 / ((-x + acos(sqrt(15)/4))/x)
We get the answer: x = acos(sqrt(15)/4)
Rapid solution
[src]
/ ____\
|\/ 15 |
x1 = acos|------|
\ 4 /
$$x_{1} = \operatorname{acos}{\left(\frac{\sqrt{15}}{4} \right)}$$
x1 = acos(sqrt(15)/4)
Sum and product of roots
[src]
sum
/ ____\
|\/ 15 |
acos|------|
\ 4 /
$$\operatorname{acos}{\left(\frac{\sqrt{15}}{4} \right)}$$
=
/ ____\
|\/ 15 |
acos|------|
\ 4 /
$$\operatorname{acos}{\left(\frac{\sqrt{15}}{4} \right)}$$
product
/ ____\
|\/ 15 |
acos|------|
\ 4 /
$$\operatorname{acos}{\left(\frac{\sqrt{15}}{4} \right)}$$
=
/ ____\
|\/ 15 |
acos|------|
\ 4 /
$$\operatorname{acos}{\left(\frac{\sqrt{15}}{4} \right)}$$
acos(sqrt(15)/4)