Mister Exam

Other calculators


1/(x+6)=2

1/(x+6)=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]
  1      
----- = 2
x + 6    
$$\frac{1}{x + 6} = 2$$
Detail solution
Given the equation:
$$\frac{1}{x + 6} = 2$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 1

b1 = 6 + x

a2 = 1

b2 = 1/2

so we get the equation
$$\frac{1}{2} = x + 6$$
$$\frac{1}{2} = x + 6$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x + \frac{11}{2}$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = \frac{11}{2}$$
Divide both parts of the equation by -1
x = 11/2 / (-1)

We get the answer: x = -11/2
The graph
Rapid solution [src]
x1 = -11/2
$$x_{1} = - \frac{11}{2}$$
x1 = -11/2
Sum and product of roots [src]
sum
-11/2
$$- \frac{11}{2}$$
=
-11/2
$$- \frac{11}{2}$$
product
-11/2
$$- \frac{11}{2}$$
=
-11/2
$$- \frac{11}{2}$$
-11/2
Numerical answer [src]
x1 = -5.5
x1 = -5.5
The graph
1/(x+6)=2 equation