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- Equation:
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Equation 11/(x-9)=-10
-
Equation (2*x-1)^2-4*x^2=0
-
Equation 12/(x+3)=-6/7
-
Equation x^2+8*x+15=0
- Express {x} in terms of y where:
- 20*x+18*y=-9
- 5*x-14*y=-15
- -12*x-10*y=-16
- -13*x-6*y=13
- Limit of the function:
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-10
- -10
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Identical expressions
- eleven /(x- nine)=- ten
- 11 divide by (x minus 9) equally minus 10
- eleven divide by (x minus nine) equally minus ten
- 11/x-9=-10
- 11 divide by (x-9)=-10
-
Similar expressions
- 11/(x+9)=-10
- 11/(x-9)=+10
11/(x-9)=-10 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{11}{x - 9} = -10$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
so we get the equation
$$\frac{\left(-1\right) 11}{10} = x - 9$$
$$- \frac{11}{10} = x - 9$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x - \frac{79}{10}$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = - \frac{79}{10}$$
Divide both parts of the equation by -1
We get the answer: x = 79/10
$$\frac{11}{x - 9} = -10$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 11
b1 = -9 + x
a2 = 1
b2 = -1/10
so we get the equation
$$\frac{\left(-1\right) 11}{10} = x - 9$$
$$- \frac{11}{10} = x - 9$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x - \frac{79}{10}$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = - \frac{79}{10}$$
Divide both parts of the equation by -1
x = -79/10 / (-1)
We get the answer: x = 79/10
Sum and product of roots
[src]
sum
79 -- 10
$$\frac{79}{10}$$
=
79 -- 10
$$\frac{79}{10}$$
product
79 -- 10
$$\frac{79}{10}$$
=
79 -- 10
$$\frac{79}{10}$$
79/10
The graph