Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation -6x+2=-x+22
- Equation x^2-x-72=0
-
Equation x-5(x+3)=5
-
Equation 5x+8=-12
- Express {x} in terms of y where:
- 7*x-2*y=18
- 6*x-19*y=-18
- -10*x-12*y=-10
- -2*x+2*y=4
-
Identical expressions
- (|-x|)= seven
- ( module of minus x|) equally 7
- ( module of minus x|) equally seven
- |-x|=7
-
Similar expressions
- |-x|=-23,4
- 4|-x|-5(|x|-4)=3|x|
- -|-x|=-1
- (|+x|)=7
- |-x|=-8,4
(|-x|)=7 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
$$x - 7 = 0$$
after simplifying we get
$$x - 7 = 0$$
the solution in this interval:
$$x_{1} = 7$$
2.
$$x < 0$$
or
$$-\infty < x \wedge x < 0$$
we get the equation
$$- x - 7 = 0$$
after simplifying we get
$$- x - 7 = 0$$
the solution in this interval:
$$x_{2} = -7$$
The final answer:
$$x_{1} = 7$$
$$x_{2} = -7$$
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
$$x - 7 = 0$$
after simplifying we get
$$x - 7 = 0$$
the solution in this interval:
$$x_{1} = 7$$
2.
$$x < 0$$
or
$$-\infty < x \wedge x < 0$$
we get the equation
$$- x - 7 = 0$$
after simplifying we get
$$- x - 7 = 0$$
the solution in this interval:
$$x_{2} = -7$$
The final answer:
$$x_{1} = 7$$
$$x_{2} = -7$$
Sum and product of roots
[src]
sum
-7 + 7
$$-7 + 7$$
=
0
$$0$$
product
-7*7
$$- 49$$
=
-49
$$-49$$
-49
The graph