Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation z^2+z+2=0
-
Equation 4*x^2-13*x+3=0
-
Equation 3*x^2+6*x+3=0
-
Equation 3x+5=0
- Express {x} in terms of y where:
- 2*x+11*y=15
- 2*x+14*y=-13
- 8*x+5*y=-1
- -7*x+3*y=2
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Identical expressions
- -49467x- three thousand and thirty-two .28y= zero
- minus 49467x minus 3032.28y equally 0
- minus 49467x minus three thousand and thirty minus two .28y equally zero
- -49467x-3032.28y=O
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Similar expressions
- -49467x+3032.28y=0
- 49467x-3032.28y=0
-49467x-3032.28y=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
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:
$$- 49467 x = \frac{75807 y}{25}$$
Divide both parts of the equation by -49467
We get the answer: x = -25269*y/412225
-49467*x-(75807/25)*y = 0
Expand brackets in the left part
-49467*x-75807/25y = 0
Looking for similar summands in the left part:
-49467*x - 75807*y/25 = 0
Move the summands with the other variables
from left part to right part, we given:
$$- 49467 x = \frac{75807 y}{25}$$
Divide both parts of the equation by -49467
x = 75807*y/25 / (-49467)
We get the answer: x = -25269*y/412225
The graph
Sum and product of roots
[src]
sum
25269*re(y) 25269*I*im(y)
- ----------- - -------------
412225 412225
$$- \frac{25269 \operatorname{re}{\left(y\right)}}{412225} - \frac{25269 i \operatorname{im}{\left(y\right)}}{412225}$$
=
25269*re(y) 25269*I*im(y)
- ----------- - -------------
412225 412225
$$- \frac{25269 \operatorname{re}{\left(y\right)}}{412225} - \frac{25269 i \operatorname{im}{\left(y\right)}}{412225}$$
product
25269*re(y) 25269*I*im(y)
- ----------- - -------------
412225 412225
$$- \frac{25269 \operatorname{re}{\left(y\right)}}{412225} - \frac{25269 i \operatorname{im}{\left(y\right)}}{412225}$$
=
25269*re(y) 25269*I*im(y)
- ----------- - -------------
412225 412225
$$- \frac{25269 \operatorname{re}{\left(y\right)}}{412225} - \frac{25269 i \operatorname{im}{\left(y\right)}}{412225}$$
-25269*re(y)/412225 - 25269*i*im(y)/412225
Rapid solution
[src]
25269*re(y) 25269*I*im(y)
x1 = - ----------- - -------------
412225 412225
$$x_{1} = - \frac{25269 \operatorname{re}{\left(y\right)}}{412225} - \frac{25269 i \operatorname{im}{\left(y\right)}}{412225}$$
x1 = -25269*re(y)/412225 - 25269*i*im(y)/412225