Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 2x^2-8=0
-
Equation x^4-x^2+1=0
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Equation 16*x^2/5-5=0
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Equation 10-5(2x-1)=7
- Express {x} in terms of y where:
- 12*x+2*y=-9
- 2*x+6*y=-2
- -19*x-16*y=3
- -18*x+10*y=12
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Identical expressions
- (three ^x)+x- four = zero
- (3 to the power of x) plus x minus 4 equally 0
- (three to the power of x) plus x minus four equally zero
- (3x)+x-4=0
- 3x+x-4=0
- 3^x+x-4=0
- (3^x)+x-4=O
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Similar expressions
- (3^x)+x+4=0
- (3^x)-x-4=0
(3^x)+x-4=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
x1 = 1
$$x_{1} = 1$$
-W(log(443426488243037769948249630619149892803)) + log(81)
x2 = ----------------------------------------------------------
log(3)
$$x_{2} = \frac{- W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right) + \log{\left(81 \right)}}{\log{\left(3 \right)}}$$
x2 = (-LambertW(log(443426488243037769948249630619149892803)) + log(81))/log(3)
Sum and product of roots
[src]
sum
-W(log(443426488243037769948249630619149892803)) + log(81)
1 + ----------------------------------------------------------
log(3)
$$1 + \frac{- W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right) + \log{\left(81 \right)}}{\log{\left(3 \right)}}$$
=
-W(log(443426488243037769948249630619149892803)) + log(81)
1 + ----------------------------------------------------------
log(3)
$$1 + \frac{- W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right) + \log{\left(81 \right)}}{\log{\left(3 \right)}}$$
product
-W(log(443426488243037769948249630619149892803)) + log(81)
----------------------------------------------------------
log(3)
$$\frac{- W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right) + \log{\left(81 \right)}}{\log{\left(3 \right)}}$$
=
-W(log(443426488243037769948249630619149892803)) + log(81)
----------------------------------------------------------
log(3)
$$\frac{- W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right) + \log{\left(81 \right)}}{\log{\left(3 \right)}}$$
(-LambertW(log(443426488243037769948249630619149892803)) + log(81))/log(3)
Numerical answer
[src]
x1 = 0.999999999999993
x2 = 1.0
x3 = 0.999999999999998
x4 = 0.999999999999976
x5 = 1.0
x6 = 0.999999999999929
x7 = 0.999999999999812
x8 = 1.0
x8 = 1.0