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- Equation:
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Equation 13/(x-4)=2
-
Equation x/4+x=4
-
Equation x^2+11=0
- Equation x+y=5
- Express {x} in terms of y where:
- 6*x+17*y=-11
- -12*x-10*y=-16
- 15*x+10*y=-4
- 15*x+9*y=5
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Identical expressions
- thirteen /(x- four)= two
- 13 divide by (x minus 4) equally 2
- thirteen divide by (x minus four) equally two
- 13/x-4=2
- 13 divide by (x-4)=2
-
Similar expressions
- 13/(x+4)=2
13/(x-4)=2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{13}{x - 4} = 2$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
so we get the equation
$$\frac{13}{2} = x - 4$$
$$\frac{13}{2} = x - 4$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x - \frac{21}{2}$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = - \frac{21}{2}$$
Divide both parts of the equation by -1
We get the answer: x = 21/2
$$\frac{13}{x - 4} = 2$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 13
b1 = -4 + x
a2 = 1
b2 = 1/2
so we get the equation
$$\frac{13}{2} = x - 4$$
$$\frac{13}{2} = x - 4$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x - \frac{21}{2}$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = - \frac{21}{2}$$
Divide both parts of the equation by -1
x = -21/2 / (-1)
We get the answer: x = 21/2
Sum and product of roots
[src]
sum
21/2
$$\frac{21}{2}$$
=
21/2
$$\frac{21}{2}$$
product
21/2
$$\frac{21}{2}$$
=
21/2
$$\frac{21}{2}$$
21/2
The graph