Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2-36=0
-
Equation -9*(8-9x)=4x+5
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Equation sin(x)+cos(x)=0
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Equation sin(x)-cos(x)=0
- Express {x} in terms of y where:
- (x^2+y^2)×(x+y-3)=2xy
- ((42^2-22)+(67*y))/67=((21^3-22)+(67*x))/67
- sqrt(1-x)^2+(4-y)^2=0
- lnx+sin(y/x+2x)=4
- Derivative of:
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e^(2*x)+1/x
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Identical expressions
- e^(two *x)+ one /x
- e to the power of (2 multiply by x) plus 1 divide by x
- e to the power of (two multiply by x) plus one divide by x
- e(2*x)+1/x
- e2*x+1/x
- e^(2x)+1/x
- e(2x)+1/x
- e2x+1/x
- e^2x+1/x
- e^(2*x)+1 divide by x
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Similar expressions
- e^(2*x)-1/x
e^(2*x)+1/x equation
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
re(W(-2)) I*im(W(-2))
x1 = --------- + -----------
2 2
$$x_{1} = \frac{\operatorname{re}{\left(W\left(-2\right)\right)}}{2} + \frac{i \operatorname{im}{\left(W\left(-2\right)\right)}}{2}$$
x1 = re(LambertW(-2))/2 + i*im(LambertW(-2))/2
Sum and product of roots
[src]
sum
re(W(-2)) I*im(W(-2))
--------- + -----------
2 2
$$\frac{\operatorname{re}{\left(W\left(-2\right)\right)}}{2} + \frac{i \operatorname{im}{\left(W\left(-2\right)\right)}}{2}$$
=
re(W(-2)) I*im(W(-2))
--------- + -----------
2 2
$$\frac{\operatorname{re}{\left(W\left(-2\right)\right)}}{2} + \frac{i \operatorname{im}{\left(W\left(-2\right)\right)}}{2}$$
product
re(W(-2)) I*im(W(-2))
--------- + -----------
2 2
$$\frac{\operatorname{re}{\left(W\left(-2\right)\right)}}{2} + \frac{i \operatorname{im}{\left(W\left(-2\right)\right)}}{2}$$
=
re(W(-2)) I*im(W(-2))
--------- + -----------
2 2
$$\frac{\operatorname{re}{\left(W\left(-2\right)\right)}}{2} + \frac{i \operatorname{im}{\left(W\left(-2\right)\right)}}{2}$$
re(LambertW(-2))/2 + i*im(LambertW(-2))/2
Numerical answer
[src]
x1 = 0.08640800142 + 0.836843206870421*i
x1 = 0.08640800142 + 0.836843206870421*i