Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 5-x^2=0
-
Equation x^2+6=5x
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Equation (x-4)/(x-6)=2
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Equation z^2+1=0
- Express {x} in terms of y where:
- -14*x+11*y=16
- -15*x+11*y=-7
- 5*x-4*y=14
- -10*x+8*y=2
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Identical expressions
- four * two ^3x= zero , twenty-five ^x^ two / two
- 4 multiply by 2 cubed x equally 0,25 to the power of x squared divide by 2
- four multiply by two cubed x equally zero , twenty minus five to the power of x to the power of two divide by two
- 4*23x=0,25x2/2
- 4*2³x=0,25^x²/2
- 4*2 to the power of 3x=0,25 to the power of x to the power of 2/2
- 42^3x=0,25^x^2/2
- 423x=0,25x2/2
- 4*2^3x=O,25^x^2/2
- 4*2^3x=0,25^x^2 divide by 2
4*2^3x=0,25^x^2/2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
/log(2)\
-W|------|
\ 1024 /
-----------
2
e
x1 = ------------
64
$$x_{1} = \frac{1}{64 e^{\frac{W\left(\frac{\log{\left(2 \right)}}{1024}\right)}{2}}}$$
x1 = exp(-LambertW(log(2)/1024)/2)/64
Sum and product of roots
[src]
sum
/log(2)\
-W|------|
\ 1024 /
-----------
2
e
------------
64
$$\frac{1}{64 e^{\frac{W\left(\frac{\log{\left(2 \right)}}{1024}\right)}{2}}}$$
=
/log(2)\
-W|------|
\ 1024 /
-----------
2
e
------------
64
$$\frac{1}{64 e^{\frac{W\left(\frac{\log{\left(2 \right)}}{1024}\right)}{2}}}$$
product
/log(2)\
-W|------|
\ 1024 /
-----------
2
e
------------
64
$$\frac{1}{64 e^{\frac{W\left(\frac{\log{\left(2 \right)}}{1024}\right)}{2}}}$$
=
/log(2)\
-W|------|
\ 1024 /
-----------
2
e
------------
64
$$\frac{1}{64 e^{\frac{W\left(\frac{\log{\left(2 \right)}}{1024}\right)}{2}}}$$
exp(-LambertW(log(2)/1024)/2)/64