Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation -x^2-4*x-3=0
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Equation cos(x)=-3
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Equation sin(-x)=0
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Equation (x+3)^3=81*(x+3)
- Express {x} in terms of y where:
- -15*x+9*y=18
- 19*x-1*y=9
- -1*x-19*y=-7
- -19*x-4*y=17
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Identical expressions
- 2x- three ^x+ one = zero
- 2x minus 3 to the power of x plus 1 equally 0
- 2x minus three to the power of x plus one equally zero
- 2x-3x+1=0
- 2x-3^x+1=O
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Similar expressions
- 2x+3^x+1=0
- 2x-3^x-1=0
2x-3^x+1=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Sum and product of roots
[src]
sum
/ ___ \
|-\/ 3 *log(3) |
W|--------------|
1 \ 6 /
1 + - - - -----------------
2 log(3)
$$\left(- \frac{1}{2} - \frac{W\left(- \frac{\sqrt{3} \log{\left(3 \right)}}{6}\right)}{\log{\left(3 \right)}}\right) + 1$$
=
/ ___ \
|-\/ 3 *log(3) |
W|--------------|
1 \ 6 /
- - -----------------
2 log(3)
$$\frac{1}{2} - \frac{W\left(- \frac{\sqrt{3} \log{\left(3 \right)}}{6}\right)}{\log{\left(3 \right)}}$$
product
/ / ___ \\ | |-\/ 3 *log(3) || | W|--------------|| | 1 \ 6 /| 0*|- - - -----------------| \ 2 log(3) /
$$0 \left(- \frac{1}{2} - \frac{W\left(- \frac{\sqrt{3} \log{\left(3 \right)}}{6}\right)}{\log{\left(3 \right)}}\right)$$
=
0
$$0$$
0
Rapid solution
[src]
x1 = 0
$$x_{1} = 0$$
x2 = 1
$$x_{2} = 1$$
/ ___ \
|-\/ 3 *log(3) |
W|--------------|
1 \ 6 /
x3 = - - - -----------------
2 log(3)
$$x_{3} = - \frac{1}{2} - \frac{W\left(- \frac{\sqrt{3} \log{\left(3 \right)}}{6}\right)}{\log{\left(3 \right)}}$$
x3 = -1/2 - LambertW(-sqrt(3)*log(3)/6)/log(3)