Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation cos(x)-1=0
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Equation 2*x^2+5*x-12=0
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Equation x^2-35=2x
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Equation 9(x-5)=-x
- Express {x} in terms of y where:
- -5*x-2*y=9
- -10*x-12*y=-10
- 8*x+1*y=4
- 20*x-16*y=7
- Derivative of:
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e^x-x
- Integral of d{x}:
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e^x-x
- Limit of the function:
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e^x-x
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Identical expressions
- e^x-x= zero
- e to the power of x minus x equally 0
- e to the power of x minus x equally zero
- ex-x=0
- e^x-x=O
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Similar expressions
- e^x+x=0
e^x-x=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
x1 = -re(W(-1)) - I*im(W(-1))
$$x_{1} = - \operatorname{re}{\left(W\left(-1\right)\right)} - i \operatorname{im}{\left(W\left(-1\right)\right)}$$
x1 = -re(LambertW(-1)) - i*im(LambertW(-1))
Sum and product of roots
[src]
sum
-re(W(-1)) - I*im(W(-1))
$$- \operatorname{re}{\left(W\left(-1\right)\right)} - i \operatorname{im}{\left(W\left(-1\right)\right)}$$
=
-re(W(-1)) - I*im(W(-1))
$$- \operatorname{re}{\left(W\left(-1\right)\right)} - i \operatorname{im}{\left(W\left(-1\right)\right)}$$
product
-re(W(-1)) - I*im(W(-1))
$$- \operatorname{re}{\left(W\left(-1\right)\right)} - i \operatorname{im}{\left(W\left(-1\right)\right)}$$
=
-re(W(-1)) - I*im(W(-1))
$$- \operatorname{re}{\left(W\left(-1\right)\right)} - i \operatorname{im}{\left(W\left(-1\right)\right)}$$
-re(LambertW(-1)) - i*im(LambertW(-1))
Numerical answer
[src]
x1 = 0.318131505204764 - 1.33723570143069*i
x1 = 0.318131505204764 - 1.33723570143069*i
The graph