Mister Exam
Other calculators
-
How to use it?
- Equation:
- Equation k^2+1=0
-
Equation 9x^2=27x
-
Equation 8x-4=9x-2(2x-7)
-
Equation 3x^2-2x-8=0
- Express {x} in terms of y where:
- 15*x-17*y=19
- 9*x-8*y=6
- 15*x+15*y=16
- 8*x+7*y=-13
- Expression:
- pq
- Integral of d{x}:
- xy
- Sum of series:
- xy
- Canonical form:
-
xy
-
Identical expressions
- pq=xy
- pq equally xy
-
Similar expressions
- 1+(p^q-q^p)/(p+q)=6
- p*q=x*y
- x(y+1)2=243y
pq=xy equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
Divide both parts of the equation by p*q/x
We get the answer: x = p*q/y
p*q = x*y
Divide both parts of the equation by p*q/x
x = x*y / (p*q/x)
We get the answer: x = p*q/y
The solution of the parametric equation
Given the equation with a parameter:
$$p q = x y$$
Коэффициент при x равен
$$- y$$
then possible cases for y :
$$y < 0$$
$$y = 0$$
Consider all cases in more detail:
With
$$y < 0$$
the equation
$$p q + x = 0$$
its solution
$$x = - p q$$
With
$$y = 0$$
the equation
$$p q = 0$$
its solution
$$p q = x y$$
Коэффициент при x равен
$$- y$$
then possible cases for y :
$$y < 0$$
$$y = 0$$
Consider all cases in more detail:
With
$$y < 0$$
the equation
$$p q + x = 0$$
its solution
$$x = - p q$$
With
$$y = 0$$
the equation
$$p q = 0$$
its solution
The graph
Rapid solution
[src]
/p*q\ /p*q\
x1 = I*im|---| + re|---|
\ y / \ y /
$$x_{1} = \operatorname{re}{\left(\frac{p q}{y}\right)} + i \operatorname{im}{\left(\frac{p q}{y}\right)}$$
x1 = re(p*q/y) + i*im(p*q/y)
Sum and product of roots
[src]
sum
/p*q\ /p*q\
I*im|---| + re|---|
\ y / \ y /
$$\operatorname{re}{\left(\frac{p q}{y}\right)} + i \operatorname{im}{\left(\frac{p q}{y}\right)}$$
=
/p*q\ /p*q\
I*im|---| + re|---|
\ y / \ y /
$$\operatorname{re}{\left(\frac{p q}{y}\right)} + i \operatorname{im}{\left(\frac{p q}{y}\right)}$$
product
/p*q\ /p*q\
I*im|---| + re|---|
\ y / \ y /
$$\operatorname{re}{\left(\frac{p q}{y}\right)} + i \operatorname{im}{\left(\frac{p q}{y}\right)}$$
=
/p*q\ /p*q\
I*im|---| + re|---|
\ y / \ y /
$$\operatorname{re}{\left(\frac{p q}{y}\right)} + i \operatorname{im}{\left(\frac{p q}{y}\right)}$$
i*im(p*q/y) + re(p*q/y)