Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 5-2x=11-7(x+2)
-
Equation x^3-5x^2-x+5=0
- Equation y^3=2
- Equation (a+3)x=(a+3)(a-2)
- Express {x} in terms of y where:
- -11*x+4*y=-8
- -14*x+1*y=3
- 14*x+16*y=14
- 17*x-11*y=2
-
Identical expressions
- (a+ three)x=(a+ three)(a- two)
- (a plus 3)x equally (a plus 3)(a minus 2)
- (a plus three)x equally (a plus three)(a minus two)
- a+3x=a+3a-2
-
Similar expressions
- (a+3)x=(a-3)(a-2)
- 64*x^4+4*x^2=a+3*x+(a+3*x)^3
- 6a+(3a-2)=14
- (a-2)*x^2-2*(a+3)*x+4a=0
- (a+3)x=(a+3)(a+2)
- (a-3)x=(a+3)(a-2)
- (x-1)/6+x/a+(3*(x+1))/(2*a^2)=0
(a+3)x=(a+3)(a-2) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
(a + 3)*x = (a + 3)*(a - 2)
$$x \left(a + 3\right) = \left(a - 2\right) \left(a + 3\right)$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Looking for similar summands in the left part:
Looking for similar summands in the right part:
Divide both parts of the equation by 3 + a
We get the answer: x = -2 + a
(a+3)*x = (a+3)*(a-2)
Expand brackets in the left part
a+3x = (a+3)*(a-2)
Expand brackets in the right part
a+3x = a+3a-2
Looking for similar summands in the left part:
x*(3 + a) = a+3a-2
Looking for similar summands in the right part:
x*(3 + a) = (-2 + a)*(3 + a)
Divide both parts of the equation by 3 + a
x = (-2 + a)*(3 + a) / (3 + a)
We get the answer: x = -2 + a
The solution of the parametric equation
Given the equation with a parameter:
$$x \left(a + 3\right) = \left(a - 2\right) \left(a + 3\right)$$
Коэффициент при x равен
$$a + 3$$
then possible cases for a :
$$a < -3$$
$$a = -3$$
Consider all cases in more detail:
With
$$a < -3$$
the equation
$$- x - 6 = 0$$
its solution
$$x = -6$$
With
$$a = -3$$
the equation
$$0 = 0$$
its solution
any x
$$x \left(a + 3\right) = \left(a - 2\right) \left(a + 3\right)$$
Коэффициент при x равен
$$a + 3$$
then possible cases for a :
$$a < -3$$
$$a = -3$$
Consider all cases in more detail:
With
$$a < -3$$
the equation
$$- x - 6 = 0$$
its solution
$$x = -6$$
With
$$a = -3$$
the equation
$$0 = 0$$
its solution
any x
The graph
Sum and product of roots
[src]
sum
-2 + I*im(a) + re(a)
$$\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} - 2$$
=
-2 + I*im(a) + re(a)
$$\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} - 2$$
product
-2 + I*im(a) + re(a)
$$\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} - 2$$
=
-2 + I*im(a) + re(a)
$$\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} - 2$$
-2 + i*im(a) + re(a)
Rapid solution
[src]
x1 = -2 + I*im(a) + re(a)
$$x_{1} = \operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} - 2$$
x1 = re(a) + i*im(a) - 2