Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 2x=18-x
-
Equation x^4=(2*x-3)^2
-
Equation 9*x^2=54*x
-
Equation cos(x)+sin(x)=0
- Express {x} in terms of y where:
- -18*x-1*y=-11
- 7*x-2*y=20
- -1*x-20*y=-17
- -2*x-14*y=7
- Sum of series:
-
-6
- Limit of the function:
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-6
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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