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- 2*(-4+3*(2*x-1)/(x-1))/(x-1)^3
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Identical expressions
- two *(- four + three *(two *x- one)/(x- one))/(x- one)^ three = zero
- 2 multiply by ( minus 4 plus 3 multiply by (2 multiply by x minus 1) divide by (x minus 1)) divide by (x minus 1) cubed equally 0
- two multiply by ( minus four plus three multiply by (two multiply by x minus one) divide by (x minus one)) divide by (x minus one) to the power of three equally zero
- 2*(-4+3*(2*x-1)/(x-1))/(x-1)3=0
- 2*-4+3*2*x-1/x-1/x-13=0
- 2*(-4+3*(2*x-1)/(x-1))/(x-1)³=0
- 2*(-4+3*(2*x-1)/(x-1))/(x-1) to the power of 3=0
- 2(-4+3(2x-1)/(x-1))/(x-1)^3=0
- 2(-4+3(2x-1)/(x-1))/(x-1)3=0
- 2-4+32x-1/x-1/x-13=0
- 2-4+32x-1/x-1/x-1^3=0
- 2*(-4+3*(2*x-1)/(x-1))/(x-1)^3=O
- 2*(-4+3*(2*x-1) divide by (x-1)) divide by (x-1)^3=0
-
Similar expressions
- 2*(-4+3*(2*x-1)/(x-1))/(x+1)^3=0
- 2*(-4+3*(2*x+1)/(x-1))/(x-1)^3=0
- 2*(4+3*(2*x-1)/(x-1))/(x-1)^3=0
- 2*(-4+3*(2*x-1)/(x+1))/(x-1)^3=0
- 2*(-4-3*(2*x-1)/(x-1))/(x-1)^3=0
2*(-4+3*(2*x-1)/(x-1))/(x-1)^3=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
/ 3*(2*x - 1)\
2*|-4 + -----------|
\ x - 1 /
-------------------- = 0
3
(x - 1)
$$\frac{2 \left(-4 + \frac{3 \left(2 x - 1\right)}{x - 1}\right)}{\left(x - 1\right)^{3}} = 0$$
Detail solution
Given the equation:
$$\frac{2 \left(-4 + \frac{3 \left(2 x - 1\right)}{x - 1}\right)}{\left(x - 1\right)^{3}} = 0$$
transform:
Take common factor from the equation
$$\frac{2 \left(2 x + 1\right)}{\left(x - 1\right)^{4}} = 0$$
the denominator
$$x - 1$$
then
Because the right side of the equation is zero, then the solution of the equation is exists if at least one of the multipliers in the left side of the equation equal to zero.
We get the equations
$$4 x + 2 = 0$$
solve the resulting equation:
1.
$$4 x + 2 = 0$$
Move free summands (without x)
from left part to right part, we given:
$$4 x = -2$$
Divide both parts of the equation by 4
We get the answer: x1 = -1/2
but
The final answer:
$$x_{1} = - \frac{1}{2}$$
$$\frac{2 \left(-4 + \frac{3 \left(2 x - 1\right)}{x - 1}\right)}{\left(x - 1\right)^{3}} = 0$$
transform:
Take common factor from the equation
$$\frac{2 \left(2 x + 1\right)}{\left(x - 1\right)^{4}} = 0$$
the denominator
$$x - 1$$
then
x is not equal to 1
Because the right side of the equation is zero, then the solution of the equation is exists if at least one of the multipliers in the left side of the equation equal to zero.
We get the equations
$$4 x + 2 = 0$$
solve the resulting equation:
1.
$$4 x + 2 = 0$$
Move free summands (without x)
from left part to right part, we given:
$$4 x = -2$$
Divide both parts of the equation by 4
x = -2 / (4)
We get the answer: x1 = -1/2
but
x is not equal to 1
The final answer:
$$x_{1} = - \frac{1}{2}$$
Sum and product of roots
[src]
sum
-1/2
$$- \frac{1}{2}$$
=
-1/2
$$- \frac{1}{2}$$
product
-1/2
$$- \frac{1}{2}$$
=
-1/2
$$- \frac{1}{2}$$
-1/2
Numerical answer
[src]
x1 = -26848.3164283262
x2 = -27695.7946987581
x3 = 22321.2386858194
x4 = 24016.1387092197
x5 = 29101.0488009739
x6 = -23458.4975607054
x7 = -39561.0687986285
x8 = 27406.0500840294
x9 = 36728.7776750453
x10 = -41256.1646991675
x11 = -20916.2656740033
x12 = -32780.8045021686
x13 = 18931.5978605038
x14 = -30238.2730204878
x15 = 41814.0714037658
x16 = 26558.560482136
x17 = -31933.2889054702
x18 = -33628.3246747929
x19 = 38423.8660224197
x20 = 21473.8063017294
x21 = -21763.6606510427
x22 = -42103.7161137037
x23 = -0.5
x24 = 14695.0253762871
x25 = 20626.3875314369
x26 = -19221.5334766223
x27 = -34475.8490779039
x28 = -37018.4447007215
x29 = 30796.0700428571
x30 = -22611.0718880926
x31 = -14985.2009543217
x32 = -35323.3773999801
x33 = 37576.3205213785
x34 = -42951.2696520293
x35 = -36170.9093593545
x36 = 25711.0782172887
x37 = 29948.5568393353
x38 = 32491.1103661087
x39 = -29390.7736396476
x40 = -20068.8891024259
x41 = -16679.62581338
x42 = 17236.8870383257
x43 = -31085.7782687998
x44 = 34186.1669950756
x45 = 15542.2796505762
x46 = 24863.6040172242
x47 = -40408.6155447319
x48 = 23168.6832377154
x49 = 33338.6367943037
x50 = -28543.2806639325
x51 = 28253.5463802373
x52 = -38713.5246223417
x53 = 16389.5684989387
x54 = -25153.3861846803
x55 = 19778.9840595251
x56 = 35881.2376675692
x57 = -24305.9361075615
x58 = -37865.9831921235
x59 = 18084.231263993
x60 = 40966.5168366584
x61 = 39271.4140096102
x62 = 35033.7007005347
x63 = 31643.5880063979
x64 = 40118.9643283659
x65 = -17526.8977982568
x66 = -15832.3912931372
x67 = -18374.2018269991
x68 = -26000.8466288722
x68 = -26000.8466288722
The graph