Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^2+2x+1=0
-
Equation 7*x^2-28=0
-
Equation cos(x)+1=0
- Equation 25*x^2-400*x=0
- Express {x} in terms of y where:
- -17*x-15*y=13
- -6*x+2*y=-12
- -16*x+14*y=-1
- -15*x+7*y=14
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Identical expressions
- (Abs((|x|)+ one))= four
- (Abs(( module of x|) plus 1)) equally 4
- (Abs(( module of x|) plus one)) equally four
- Abs|x|+1=4
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Similar expressions
- (Abs((|x|)-1))=4
(Abs((|x|)+1))=4 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
$$x - 3 = 0$$
after simplifying we get
$$x - 3 = 0$$
the solution in this interval:
$$x_{1} = 3$$
2.
$$x < 0$$
or
$$-\infty < x \wedge x < 0$$
we get the equation
$$- x - 3 = 0$$
after simplifying we get
$$- x - 3 = 0$$
the solution in this interval:
$$x_{2} = -3$$
The final answer:
$$x_{1} = 3$$
$$x_{2} = -3$$
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
$$x - 3 = 0$$
after simplifying we get
$$x - 3 = 0$$
the solution in this interval:
$$x_{1} = 3$$
2.
$$x < 0$$
or
$$-\infty < x \wedge x < 0$$
we get the equation
$$- x - 3 = 0$$
after simplifying we get
$$- x - 3 = 0$$
the solution in this interval:
$$x_{2} = -3$$
The final answer:
$$x_{1} = 3$$
$$x_{2} = -3$$