Mister Exam

Other calculators

(x-1)/(4x-1)=5/2 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 - 1       
------- = 5/2
4*x - 1      
$$\frac{x - 1}{4 x - 1} = \frac{5}{2}$$
Detail solution
Given the equation:
$$\frac{x - 1}{4 x - 1} = \frac{5}{2}$$
Multiply the equation sides by the denominator -1 + 4*x
we get:
$$x - 1 = 10 x - \frac{5}{2}$$
Move free summands (without x)
from left part to right part, we given:
$$x = 10 x - \frac{3}{2}$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-9\right) x = - \frac{3}{2}$$
Divide both parts of the equation by -9
x = -3/2 / (-9)

We get the answer: x = 1/6
The graph
Rapid solution [src]
x1 = 1/6
$$x_{1} = \frac{1}{6}$$
x1 = 1/6
Sum and product of roots [src]
sum
1/6
$$\frac{1}{6}$$
=
1/6
$$\frac{1}{6}$$
product
1/6
$$\frac{1}{6}$$
=
1/6
$$\frac{1}{6}$$
1/6
Numerical answer [src]
x1 = 0.166666666666667
x1 = 0.166666666666667