Mister Exam

Other calculators

(10+4x-10)/34.8=(20-2x+14.4)/31.07 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]
10 + 4*x - 10   20 - 2*x + 72/5
------------- = ---------------
    174/5            /3107\    
                     |----|    
                     \100 /    
$$\frac{\left(4 x + 10\right) - 10}{\frac{174}{5}} = \frac{\left(20 - 2 x\right) + \frac{72}{5}}{\frac{3107}{100}}$$
Detail solution
Given the linear equation:
(10+4*x-10)/(174/5) = (20-2*x+(72/5))/(3107/100)

Expand brackets in the left part
10+4*x-10174/5 = (20-2*x+(72/5))/(3107/100)

Expand brackets in the right part
10+4*x-10174/5 = 20-2*x+72/5)/3107/100

Looking for similar summands in the left part:
10*x/87 = 20-2*x+72/5)/3107/100

Move the summands with the unknown x
from the right part to the left part:
$$\frac{48470 x}{270309} = \frac{3440}{3107}$$
Divide both parts of the equation by 48470/270309
x = 3440/3107 / (48470/270309)

We get the answer: x = 29928/4847
The graph
Sum and product of roots [src]
sum
29928
-----
 4847
$$\frac{29928}{4847}$$
=
29928
-----
 4847
$$\frac{29928}{4847}$$
product
29928
-----
 4847
$$\frac{29928}{4847}$$
=
29928
-----
 4847
$$\frac{29928}{4847}$$
29928/4847
Rapid solution [src]
     29928
x1 = -----
      4847
$$x_{1} = \frac{29928}{4847}$$
x1 = 29928/4847
Numerical answer [src]
x1 = 6.17454095316691
x1 = 6.17454095316691