Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation laplace(x)=(39/40)
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Equation 0,4x+3,8=2,6-0,8x
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Equation (7-x)^2=(x+3)^2
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Equation 8x=4
- Express {x} in terms of y where:
- 12*x+2*y=-9
- 2*x+6*y=-2
- -9*x-16*y=-1
- -18*x-11*y=7
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Identical expressions
- laplace((x- thirty)/ four)=(one / ten)
- laplace((x minus 30) divide by 4) equally (1 divide by 10)
- laplace((x minus thirty) divide by four) equally (one divide by ten)
- laplacex-30/4=1/10
- laplace((x-30) divide by 4)=(1 divide by 10)
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Similar expressions
- laplace((x+30)/4)=(1/10)
- x/50+10*(20+1/(100*x/10^6))/(30+1/(100*x/10^6))=0
- x^log1000x=1/100
- (7041/200)+(1449/50)*t+(1511/500)*t^2+(523/1000)*t^3=(19/20)/(11/10)*((2289/1000)*t^2+(111/100)*t^3)
- x^(ln1000x)=1/100
- x+(0.00251*x+0.1883-(3/25))/0.0022+250=(7661/10)
laplace((x-30)/4)=(1/10) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
//x - 30\\
||------||
|\ 4 /|
1 + erf|--------|
| ___ |
\ \/ 2 /
----------------- = 1/10
2
$$\frac{\operatorname{erf}{\left(\frac{\frac{1}{4} \left(x - 30\right)}{\sqrt{2}} \right)} + 1}{2} = \frac{1}{10}$$
Rapid solution
[src]
___ x1 = 30 + 4*\/ 2 *erfinv(-4/5)
$$x_{1} = 4 \sqrt{2} \operatorname{erfinv}{\left(- \frac{4}{5} \right)} + 30$$
x1 = 4*sqrt(2)*erfinv(-4/5) + 30
Sum and product of roots
[src]
sum
___ 30 + 4*\/ 2 *erfinv(-4/5)
$$4 \sqrt{2} \operatorname{erfinv}{\left(- \frac{4}{5} \right)} + 30$$
=
___ 30 + 4*\/ 2 *erfinv(-4/5)
$$4 \sqrt{2} \operatorname{erfinv}{\left(- \frac{4}{5} \right)} + 30$$
product
___ 30 + 4*\/ 2 *erfinv(-4/5)
$$4 \sqrt{2} \operatorname{erfinv}{\left(- \frac{4}{5} \right)} + 30$$
=
___ 30 + 4*\/ 2 *erfinv(-4/5)
$$4 \sqrt{2} \operatorname{erfinv}{\left(- \frac{4}{5} \right)} + 30$$
30 + 4*sqrt(2)*erfinv(-4/5)