Mister Exam
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How to use it?
- Equation:
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Equation cos*((pi(4x+48))/4)=-(sqrt(2)/2)
- Equation cos4xcos2x=sin3xsin5x
- Equation 36^x+1+35*6^x-1=0
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Equation x*90=16560
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Identical expressions
- thirty-six ^x+ one + thirty-five * six ^x- one = zero
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- 36x+1+35*6x-1=0
- 36^x+1+356^x-1=0
- 36x+1+356x-1=0
- 36^x+1+35*6^x-1=O
-
Similar expressions
- 36^x+1+35*6^x+1=0
- 36^x+1-35*6^x-1=0
- 36^x-1+35*6^x-1=0
36^x+1+35*6^x-1=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
x x 36 + 1 + 35*6 - 1 = 0
$$\left(35 \cdot 6^{x} + \left(36^{x} + 1\right)\right) - 1 = 0$$
Sum and product of roots
[src]
sum
log(35) pi*I ------- + ------ log(6) log(6)
$$\frac{\log{\left(35 \right)}}{\log{\left(6 \right)}} + \frac{i \pi}{\log{\left(6 \right)}}$$
=
log(35) pi*I ------- + ------ log(6) log(6)
$$\frac{\log{\left(35 \right)}}{\log{\left(6 \right)}} + \frac{i \pi}{\log{\left(6 \right)}}$$
product
log(35) pi*I ------- + ------ log(6) log(6)
$$\frac{\log{\left(35 \right)}}{\log{\left(6 \right)}} + \frac{i \pi}{\log{\left(6 \right)}}$$
=
pi*I + log(35)
--------------
log(6)
$$\frac{\log{\left(35 \right)} + i \pi}{\log{\left(6 \right)}}$$
(pi*i + log(35))/log(6)
Rapid solution
[src]
log(35) pi*I
x1 = ------- + ------
log(6) log(6)
$$x_{1} = \frac{\log{\left(35 \right)}}{\log{\left(6 \right)}} + \frac{i \pi}{\log{\left(6 \right)}}$$
x1 = log(35)/log(6) + i*pi/log(6)
Numerical answer
[src]
x1 = -17.5866618434504
x2 = -23.5866625414249
x3 = -39.5866625414399
x4 = -99.5866625414399
x5 = -111.58666254144
x6 = -65.5866625414399
x7 = -95.5866625414399
x8 = -91.5866625414399
x9 = -35.5866625414399
x10 = -63.5866625414399
x11 = -87.5866625414399
x12 = -77.5866625414399
x13 = -57.5866625414399
x14 = -49.5866625414399
x15 = -71.5866625414399
x16 = -97.5866625414399
x17 = -43.5866625414399
x18 = -109.58666254144
x19 = -21.5866625409013
x20 = -81.5866625414399
x21 = -59.5866625414399
x22 = -25.5866625414395
x23 = -67.5866625414399
x24 = -19.5866625220513
x25 = -41.5866625414399
x26 = -101.58666254144
x27 = -55.5866625414399
x28 = -31.5866625414399
x29 = -61.5866625414399
x30 = -37.5866625414399
x31 = -89.5866625414399
x32 = -29.5866625414399
x33 = -93.5866625414399
x34 = -53.5866625414399
x35 = -105.58666254144
x36 = -45.5866625414399
x37 = -85.5866625414399
x38 = -79.5866625414399
x39 = -33.5866625414399
x40 = -103.58666254144
x41 = -75.5866625414399
x42 = -51.5866625414399
x43 = -69.5866625414399
x44 = -83.5866625414399
x45 = -73.5866625414399
x46 = -47.5866625414399
x47 = -107.58666254144
x48 = -27.5866625414399
x48 = -27.5866625414399