Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation cos(x)-1=0
-
Equation |x-4|=2
-
Equation (x^2-x-1)/(x^2-2*x)=0
-
Equation 4x+9=5(2x-7)-6x
- Express {x} in terms of y where:
- xy^1=y+x*sin(y/x)
- sqrt(x)*sin(y/x)=0
- 12*10^(-30)-0,1884*10^12*x^2-y(0,3768*10^12*x+1,183152*10^12*x^3)+y^2(2,760688*10^24*x^2)=0=0
- (x^2+y^2)×(x+y-3)=2xy
- Graphing y =:
- |x-4|
- Canonical form:
- |x-4|
- Integral of d{x}:
- |x-4|
-
Identical expressions
- |x- four |= two
- module of x minus 4| equally 2
- module of x minus four | equally two
-
Similar expressions
- |x+4|=2
|x-4|=2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
For every modulo expressions in the equation
allow cases, when this expressions ">=0" or "<0",
solve the resulting equation.
1.
$$x - 4 \geq 0$$
or
$$4 \leq x \wedge x < \infty$$
we get the equation
$$\left(x - 4\right) - 2 = 0$$
after simplifying we get
$$x - 6 = 0$$
the solution in this interval:
$$x_{1} = 6$$
2.
$$x - 4 < 0$$
or
$$-\infty < x \wedge x < 4$$
we get the equation
$$\left(4 - x\right) - 2 = 0$$
after simplifying we get
$$2 - x = 0$$
the solution in this interval:
$$x_{2} = 2$$
The final answer:
$$x_{1} = 6$$
$$x_{2} = 2$$
allow cases, when this expressions ">=0" or "<0",
solve the resulting equation.
1.
$$x - 4 \geq 0$$
or
$$4 \leq x \wedge x < \infty$$
we get the equation
$$\left(x - 4\right) - 2 = 0$$
after simplifying we get
$$x - 6 = 0$$
the solution in this interval:
$$x_{1} = 6$$
2.
$$x - 4 < 0$$
or
$$-\infty < x \wedge x < 4$$
we get the equation
$$\left(4 - x\right) - 2 = 0$$
after simplifying we get
$$2 - x = 0$$
the solution in this interval:
$$x_{2} = 2$$
The final answer:
$$x_{1} = 6$$
$$x_{2} = 2$$
Sum and product of roots
[src]
sum
2 + 6
$$2 + 6$$
=
8
$$8$$
product
2*6
$$2 \cdot 6$$
=
12
$$12$$
12
The graph