Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^2+7=0
-
Equation x+2=0
-
Equation 2x=0
-
Equation (x-1)(-x-4)=0
- Express {x} in terms of y where:
- -15*x-19*y=2
- 4*x+4*y=13
- -4*x+14*y=-2
- 6*x+4*y=15
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Identical expressions
- three (m+n)- two (m-n)
- 3(m plus n) minus 2(m minus n)
- three (m plus n) minus two (m minus n)
- 3m+n-2m-n
-
Similar expressions
- 3(m+n)+2(m-n)
- 3(m+n)-2(m+n)
- 3(m-n)-2(m-n)
3(m+n)-2(m-n) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
3*(m + n) - 2*(m - n) = 0
$$- 2 \left(m - n\right) + 3 \left(m + n\right) = 0$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Looking for similar summands in the left part:
Move the summands with the other variables
from left part to right part, we given:
$$5 n = - m$$
Divide both parts of the equation by 5
We get the answer: n = -m/5
3*(m+n)-2*(m-n) = 0
Expand brackets in the left part
3*m+3*n-2*m+2*n = 0
Looking for similar summands in the left part:
m + 5*n = 0
Move the summands with the other variables
from left part to right part, we given:
$$5 n = - m$$
Divide both parts of the equation by 5
n = -m / (5)
We get the answer: n = -m/5
The graph
Sum and product of roots
[src]
sum
re(m) I*im(m)
- ----- - -------
5 5
$$- \frac{\operatorname{re}{\left(m\right)}}{5} - \frac{i \operatorname{im}{\left(m\right)}}{5}$$
=
re(m) I*im(m)
- ----- - -------
5 5
$$- \frac{\operatorname{re}{\left(m\right)}}{5} - \frac{i \operatorname{im}{\left(m\right)}}{5}$$
product
re(m) I*im(m)
- ----- - -------
5 5
$$- \frac{\operatorname{re}{\left(m\right)}}{5} - \frac{i \operatorname{im}{\left(m\right)}}{5}$$
=
re(m) I*im(m)
- ----- - -------
5 5
$$- \frac{\operatorname{re}{\left(m\right)}}{5} - \frac{i \operatorname{im}{\left(m\right)}}{5}$$
-re(m)/5 - i*im(m)/5
Rapid solution
[src]
re(m) I*im(m)
n1 = - ----- - -------
5 5
$$n_{1} = - \frac{\operatorname{re}{\left(m\right)}}{5} - \frac{i \operatorname{im}{\left(m\right)}}{5}$$
n1 = -re(m)/5 - i*im(m)/5