Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation 3(x+3)=2x+5
-
Equation x^2=8
-
Equation (x-3)*(x+2)=0
-
Equation 1/(x+6)=2
- Express {x} in terms of y where:
- 2*x+13*y=19
- -17*x+18*y=10
- 7*x-1*y=-7
- 10*x-18*y=3
- Integral of d{x}:
-
1/(x+6)
-
Identical expressions
- one /(x+ six)= two
- 1 divide by (x plus 6) equally 2
- one divide by (x plus six) equally two
- 1/x+6=2
- 1 divide by (x+6)=2
-
Similar expressions
- (2*x-1)/(x+6)=2
- 3^(1/x)+6^(sqrt(x))+(1/2)^(2*x)=0
- 2x-1/x+6=2
- 1/(x-6)=2
1/(x+6)=2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
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
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
We get the answer: x = -11/2
$$\frac{1}{x + 6} = 2$$
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
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
The graph