Mister Exam

Other calculators

x-(1/3*x+2)-(1/4*x+1)-((x-(1/3*x+1/4*x+2+1))*0,5)=1/6 equation

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

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src]
                              x   x              
                        x + - - - - - 2 - 1      
      x         x             3   4              
x + - - - 2 + - - - 1 - ------------------- = 1/6
      3         4                2               
$$- \frac{x + \left(\left(\left(- \frac{x}{3} - \frac{x}{4}\right) - 2\right) - 1\right)}{2} + \left(\left(- \frac{x}{4} - 1\right) + \left(x + \left(- \frac{x}{3} - 2\right)\right)\right) = \frac{1}{6}$$
Detail solution
Given the linear equation:
x-(1/3*x+2)-(1/4*x+1)-((x-(1/3*x+1/4*x+2+1))*(1/2)) = 1/6

Expand brackets in the left part
x-1/3*x-2-1/4*x-1-x-1/3*x-1/4*x-2-1)1/2) = 1/6

Looking for similar summands in the left part:
-3/2 + 5*x/24 = 1/6

Move free summands (without x)
from left part to right part, we given:
$$\frac{5 x}{24} = \frac{5}{3}$$
Divide both parts of the equation by 5/24
x = 5/3 / (5/24)

We get the answer: x = 8
The graph
Rapid solution [src]
x1 = 8
$$x_{1} = 8$$
x1 = 8
Sum and product of roots [src]
sum
8
$$8$$
=
8
$$8$$
product
8
$$8$$
=
8
$$8$$
8
Numerical answer [src]
x1 = 8.0
x1 = 8.0