Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 2x^2-x=0
-
Equation 3x-1=2x
-
Equation -x^2+6*x-7=0
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Equation 7x=-3
- Express {x} in terms of y where:
- 15*x+17*y=-8
- 18*x+9*y=19
- 1*x-5*y=-14
- 5*x+15*y=-8
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Identical expressions
- one /3c+ five = seventeen - one /6x
- 1 divide by 3c plus 5 equally 17 minus 1 divide by 6x
- one divide by 3c plus five equally seventeen minus one divide by 6x
- 1 divide by 3c+5=17-1 divide by 6x
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Similar expressions
- 1/3c+5=17+1/6x
- 1/3c-5=17-1/6x
1/3c+5=17-1/6x equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
Move free summands (without x)
from left part to right part, we given:
$$\frac{c}{3} = 12 - \frac{x}{6}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{c}{3} + \frac{x}{6} = 12$$
Divide both parts of the equation by (c/3 + x/6)/x
We get the answer: x = 72 - 2*c
1/3*c+5 = 17-1/6*x
Move free summands (without x)
from left part to right part, we given:
$$\frac{c}{3} = 12 - \frac{x}{6}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{c}{3} + \frac{x}{6} = 12$$
Divide both parts of the equation by (c/3 + x/6)/x
x = 12 / ((c/3 + x/6)/x)
We get the answer: x = 72 - 2*c
The graph
Sum and product of roots
[src]
sum
72 - 2*re(c) - 2*I*im(c)
$$- 2 \operatorname{re}{\left(c\right)} - 2 i \operatorname{im}{\left(c\right)} + 72$$
=
72 - 2*re(c) - 2*I*im(c)
$$- 2 \operatorname{re}{\left(c\right)} - 2 i \operatorname{im}{\left(c\right)} + 72$$
product
72 - 2*re(c) - 2*I*im(c)
$$- 2 \operatorname{re}{\left(c\right)} - 2 i \operatorname{im}{\left(c\right)} + 72$$
=
72 - 2*re(c) - 2*I*im(c)
$$- 2 \operatorname{re}{\left(c\right)} - 2 i \operatorname{im}{\left(c\right)} + 72$$
72 - 2*re(c) - 2*i*im(c)
Rapid solution
[src]
x1 = 72 - 2*re(c) - 2*I*im(c)
$$x_{1} = - 2 \operatorname{re}{\left(c\right)} - 2 i \operatorname{im}{\left(c\right)} + 72$$
x1 = -2*re(c) - 2*i*im(c) + 72