Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation (x+3)^2-16=(1-2x)^2
-
Equation |x|=5
-
Equation -2x=24
-
Equation x-cos(x)=0
- Express {x} in terms of y where:
- 19*x+3*y=-3
- 19*x+11*y=6
- -18*x+16*y=4
- -15*x-3*y=7
- Derivative of:
-
|x|
- Integral of d{x}:
- |x|
- Limit of the function:
-
|x|
-
Identical expressions
- |x|= five
- module of x| equally 5
- module of x| equally five
|x|=5 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.
$$x \geq 0$$
or
$$0 \leq x \wedge x < \infty$$
we get the equation
$$x - 5 = 0$$
after simplifying we get
$$x - 5 = 0$$
the solution in this interval:
$$x_{1} = 5$$
2.
$$x < 0$$
or
$$-\infty < x \wedge x < 0$$
we get the equation
$$- x - 5 = 0$$
after simplifying we get
$$- x - 5 = 0$$
the solution in this interval:
$$x_{2} = -5$$
The final answer:
$$x_{1} = 5$$
$$x_{2} = -5$$
allow cases, when this expressions ">=0" or "<0",
solve the resulting equation.
1.
$$x \geq 0$$
or
$$0 \leq x \wedge x < \infty$$
we get the equation
$$x - 5 = 0$$
after simplifying we get
$$x - 5 = 0$$
the solution in this interval:
$$x_{1} = 5$$
2.
$$x < 0$$
or
$$-\infty < x \wedge x < 0$$
we get the equation
$$- x - 5 = 0$$
after simplifying we get
$$- x - 5 = 0$$
the solution in this interval:
$$x_{2} = -5$$
The final answer:
$$x_{1} = 5$$
$$x_{2} = -5$$
Sum and product of roots
[src]
sum
-5 + 5
$$-5 + 5$$
=
0
$$0$$
product
-5*5
$$- 25$$
=
-25
$$-25$$
-25
The graph