Mister Exam
Other calculators
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How to use it?
- Equation:
- Equation x-y=1
-
Equation (x+2)/9=(x-3)/2
-
Equation x^2-4x+5=0
-
Equation x^3=27
- Express {x} in terms of y where:
- -11*x+15*y=7
- 4*x+2*y=5
- 1*x+10*y=-18
- -17*x+1*y=-11
- Sum of series:
-
-6
- Limit of the function:
-
-6
-
Identical expressions
- (-x- six)/(x- thirteen)=- six
- ( minus x minus 6) divide by (x minus 13) equally minus 6
- ( minus x minus six) divide by (x minus thirteen) equally minus six
- -x-6/x-13=-6
- (-x-6) divide by (x-13)=-6
-
Similar expressions
- (-x-6)/(x-13)=+6
- (-x+6)/(x-13)=-6
- (-x-6)/(x+13)=-6
- (x-6)/(x-13)=-6
(-x-6)/(x-13)=-6 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{- x - 6}{x - 13} = -6$$
Multiply the equation sides by the denominator -13 + x
we get:
$$- x - 6 = - 6 x + 78$$
Move free summands (without x)
from left part to right part, we given:
$$- x = - 6 x + 84$$
Move the summands with the unknown x
from the right part to the left part:
$$5 x = 84$$
Divide both parts of the equation by 5
We get the answer: x = 84/5
$$\frac{- x - 6}{x - 13} = -6$$
Multiply the equation sides by the denominator -13 + x
we get:
$$- x - 6 = - 6 x + 78$$
Move free summands (without x)
from left part to right part, we given:
$$- x = - 6 x + 84$$
Move the summands with the unknown x
from the right part to the left part:
$$5 x = 84$$
Divide both parts of the equation by 5
x = 84 / (5)
We get the answer: x = 84/5
Sum and product of roots
[src]
sum
0 + 84/5
$$0 + \frac{84}{5}$$
=
84/5
$$\frac{84}{5}$$
product
1*84/5
$$1 \cdot \frac{84}{5}$$
=
84/5
$$\frac{84}{5}$$
84/5
The graph