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Equation:
Equation cos(x)-1=0
Equation x+5=7
Equation 16*x^3+8*x^2+x=0
Equation 3/5*y=29/10-1/5
Express {x} in terms of y where:
19*x+2*y=17
8*x-9*y=-1
13*x-1*y=-20
9*x+8*y=-4
Identical expressions
one , eighty-nine * ten ^(twenty-four)= eight / twenty-seven *(one +x)^ two *(six - two x)^2/(one -x)^ four
1,89 multiply by 10 to the power of (24) equally 8 divide by 27 multiply by (1 plus x) squared multiply by (6 minus 2x) squared divide by (1 minus x) to the power of 4
one , eighty minus nine multiply by ten to the power of (twenty minus four) equally eight divide by twenty minus seven multiply by (one plus x) to the power of two multiply by (six minus two x) squared divide by (one minus x) to the power of four
1,89*10(24)=8/27*(1+x)2*(6-2x)2/(1-x)4
1,89*1024=8/27*1+x2*6-2x2/1-x4
1,89*10^(24)=8/27*(1+x)²*(6-2x)²/(1-x)⁴
1,89*10 to the power of (24)=8/27*(1+x) to the power of 2*(6-2x) to the power of 2/(1-x) to the power of 4
1,8910^(24)=8/27(1+x)^2(6-2x)^2/(1-x)^4
1,8910(24)=8/27(1+x)2(6-2x)2/(1-x)4
1,891024=8/271+x26-2x2/1-x4
1,8910^24=8/271+x^26-2x^2/1-x^4
1,89*10^(24)=8 divide by 27*(1+x)^2*(6-2x)^2 divide by (1-x)^4
Similar expressions
1,89*10^(24)=8/27*(1-x)^2*(6-2x)^2/(1-x)^4
1,89*10^(24)=8/27*(1+x)^2*(6-2x)^2/(1+x)^4
1,89*10^(24)=8/27*(1+x)^2*(6+2x)^2/(1-x)^4

1,8910^(24)=8/27(1+x)^2*(6-2x)^2/(1-x)^4 equation

The teacher will be very surprised to see your correct solution 😉

The solution

You have entered [src]

                                         2           
                                8*(1 + x)           2
                                ----------*(6 - 2*x) 
189*1000000000000000000000000       27               
----------------------------- = ---------------------
             100                              4      
                                       (1 - x)

$$\frac{189 \cdot 1000000000000000000000000}{100} = \frac{\left(6 - 2 x\right)^{2} \frac{8 \left(x + 1\right)^{2}}{27}}{\left(1 - x\right)^{4}}$$

Simplify

Sum and product of roots [src]

sum

                                       __________________________                                          __________________________                                            _________________________                                            _________________________
        ___________________________   /                     ____            ___________________________   /                     ____              ___________________________   /                    ____              ___________________________   /                    ____ 
    2*\/ 1594687499999999999999999 *\/  -1 + 337500000000*\/ 14         2*\/ 1594687499999999999999999 *\/  -1 + 337500000000*\/ 14         2*I*\/ 1594687499999999999999999 *\/  1 + 337500000000*\/ 14         2*I*\/ 1594687499999999999999999 *\/  1 + 337500000000*\/ 14  
1 - ------------------------------------------------------------- + 1 + ------------------------------------------------------------- + 1 - -------------------------------------------------------------- + 1 + --------------------------------------------------------------
                      1594687499999999999999999                                           1594687499999999999999999                                           1594687499999999999999999                                            1594687499999999999999999

$$\left(\left(\left(- \frac{2 \sqrt{1594687499999999999999999} \sqrt{-1 + 337500000000 \sqrt{14}}}{1594687499999999999999999} + 1\right) + \left(\frac{2 \sqrt{1594687499999999999999999} \sqrt{-1 + 337500000000 \sqrt{14}}}{1594687499999999999999999} + 1\right)\right) + \left(1 - \frac{2 \sqrt{1594687499999999999999999} i \sqrt{1 + 337500000000 \sqrt{14}}}{1594687499999999999999999}\right)\right) + \left(1 + \frac{2 \sqrt{1594687499999999999999999} i \sqrt{1 + 337500000000 \sqrt{14}}}{1594687499999999999999999}\right)$$

$$4$$

product

/                                       __________________________\ /                                       __________________________\ /                                         _________________________\ /                                         _________________________\
|        ___________________________   /                     ____ | |        ___________________________   /                     ____ | |          ___________________________   /                    ____ | |          ___________________________   /                    ____ |
|    2*\/ 1594687499999999999999999 *\/  -1 + 337500000000*\/ 14  | |    2*\/ 1594687499999999999999999 *\/  -1 + 337500000000*\/ 14  | |    2*I*\/ 1594687499999999999999999 *\/  1 + 337500000000*\/ 14  | |    2*I*\/ 1594687499999999999999999 *\/  1 + 337500000000*\/ 14  |
|1 - -------------------------------------------------------------|*|1 + -------------------------------------------------------------|*|1 - --------------------------------------------------------------|*|1 + --------------------------------------------------------------|
\                      1594687499999999999999999                  / \                      1594687499999999999999999                  / \                      1594687499999999999999999                   / \                      1594687499999999999999999                   /

$$\left(- \frac{2 \sqrt{1594687499999999999999999} \sqrt{-1 + 337500000000 \sqrt{14}}}{1594687499999999999999999} + 1\right) \left(\frac{2 \sqrt{1594687499999999999999999} \sqrt{-1 + 337500000000 \sqrt{14}}}{1594687499999999999999999} + 1\right) \left(1 - \frac{2 \sqrt{1594687499999999999999999} i \sqrt{1 + 337500000000 \sqrt{14}}}{1594687499999999999999999}\right) \left(1 + \frac{2 \sqrt{1594687499999999999999999} i \sqrt{1 + 337500000000 \sqrt{14}}}{1594687499999999999999999}\right)$$

1594687499999999999999991
-------------------------
1594687499999999999999999

$$\frac{1594687499999999999999991}{1594687499999999999999999}$$

1594687499999999999999991/1594687499999999999999999

Rapid solution [src]

                                            __________________________
             ___________________________   /                     ____ 
         2*\/ 1594687499999999999999999 *\/  -1 + 337500000000*\/ 14  
x1 = 1 - -------------------------------------------------------------
                           1594687499999999999999999

$$x_{1} = - \frac{2 \sqrt{1594687499999999999999999} \sqrt{-1 + 337500000000 \sqrt{14}}}{1594687499999999999999999} + 1$$

                                            __________________________
             ___________________________   /                     ____ 
         2*\/ 1594687499999999999999999 *\/  -1 + 337500000000*\/ 14  
x2 = 1 + -------------------------------------------------------------
                           1594687499999999999999999

$$x_{2} = \frac{2 \sqrt{1594687499999999999999999} \sqrt{-1 + 337500000000 \sqrt{14}}}{1594687499999999999999999} + 1$$

                                              _________________________
               ___________________________   /                    ____ 
         2*I*\/ 1594687499999999999999999 *\/  1 + 337500000000*\/ 14  
x3 = 1 - --------------------------------------------------------------
                           1594687499999999999999999

$$x_{3} = 1 - \frac{2 \sqrt{1594687499999999999999999} i \sqrt{1 + 337500000000 \sqrt{14}}}{1594687499999999999999999}$$

                                              _________________________
               ___________________________   /                    ____ 
         2*I*\/ 1594687499999999999999999 *\/  1 + 337500000000*\/ 14  
x4 = 1 + --------------------------------------------------------------
                           1594687499999999999999999

$$x_{4} = 1 + \frac{2 \sqrt{1594687499999999999999999} i \sqrt{1 + 337500000000 \sqrt{14}}}{1594687499999999999999999}$$

x4 = 1 + 2*sqrt(1594687499999999999999999)*i*sqrt(1 + 337500000000*sqrt(14))/1594687499999999999999999

Numerical answer [src]

x1 = 1.0 - 1.7797585917451e-6*i

x2 = 1.0 + 1.7797585917451e-6*i

x3 = 0.999998220241408

x4 = 1.00000177975859

x4 = 1.00000177975859

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Identical expressions

Similar expressions

1,89*10^(24)=8/27*(1+x)^2*(6-2x)^2/(1-x)^4 equation

Numerical solution:

The solution

1,8910^(24)=8/27(1+x)^2*(6-2x)^2/(1-x)^4 equation