Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 4x-x^2=x^2-x+3
-
Equation x^6=-64
-
Equation x^2-21=4x
- Equation x+y=12
- Express {x} in terms of y where:
- 12*x+6*y=-5
- -19*x+1*y=-6
- 2*x+4*y=-1
- -1*x+9*y=16
- Graphing y =:
- x/2
- Derivative of:
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x/2
- Integral of d{x}:
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x/2
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Identical expressions
- x/ two = two *lg(x)+ one
- x divide by 2 equally 2 multiply by lg(x) plus 1
- x divide by two equally two multiply by lg(x) plus one
- x/2=2lg(x)+1
- x/2=2lgx+1
- x divide by 2=2*lg(x)+1
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Similar expressions
- x/2=2*lg(x)-1
- (x^2-3)/8-(2*x-5)/4=(6-x)/2
x/2=2*lg(x)+1 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
/ -1/2 \
|-e |
x1 = -4*W|-------|
\ 4 /
$$x_{1} = - 4 W\left(- \frac{1}{4 e^{\frac{1}{2}}}\right)$$
/ -1/2 \
|-e |
x2 = -4*W|-------, -1|
\ 4 /
$$x_{2} = - 4 W_{-1}\left(- \frac{1}{4 e^{\frac{1}{2}}}\right)$$
x2 = -4*LambertW(-exp(-1/2/4, -1))
Sum and product of roots
[src]
sum
/ -1/2 \ / -1/2 \
|-e | |-e |
- 4*W|-------| - 4*W|-------, -1|
\ 4 / \ 4 /
$$- 4 W\left(- \frac{1}{4 e^{\frac{1}{2}}}\right) - 4 W_{-1}\left(- \frac{1}{4 e^{\frac{1}{2}}}\right)$$
=
/ -1/2 \ / -1/2 \
|-e | |-e |
- 4*W|-------| - 4*W|-------, -1|
\ 4 / \ 4 /
$$- 4 W\left(- \frac{1}{4 e^{\frac{1}{2}}}\right) - 4 W_{-1}\left(- \frac{1}{4 e^{\frac{1}{2}}}\right)$$
product
/ -1/2 \ / -1/2 \
|-e | |-e |
-4*W|-------|*-4*W|-------, -1|
\ 4 / \ 4 /
$$- 4 W\left(- \frac{1}{4 e^{\frac{1}{2}}}\right) \left(- 4 W_{-1}\left(- \frac{1}{4 e^{\frac{1}{2}}}\right)\right)$$
=
/ -1/2 \ / -1/2 \
|-e | |-e |
16*W|-------|*W|-------, -1|
\ 4 / \ 4 /
$$16 W\left(- \frac{1}{4 e^{\frac{1}{2}}}\right) W_{-1}\left(- \frac{1}{4 e^{\frac{1}{2}}}\right)$$
16*LambertW(-exp(-1/2)/4)*LambertW(-exp(-1/2)/4, -1)