Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 3-x=1+x
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Equation |x|=-2
- Equation x+y-3=0
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Equation 2^x=6-x
- Express {x} in terms of y where:
- -1*x-6*y=18
- 6*x-19*y=-18
- -14*x+18*y=0
- -8*x+3*y=-4
- Derivative of:
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|x|
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-2
- Integral of d{x}:
- |x|
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-2
- Limit of the function:
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|x|
- Sum of series:
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-2
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Identical expressions
- |x|=- two
- module of x| equally minus 2
- module of x| equally minus two
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Similar expressions
- 0,5(8x+1)=1,5-(2-4x)
- |x|=+2
- (|3|)*x*(|-5|)=2*x-2
|x|=-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.
$$x \geq 0$$
or
$$0 \leq x \wedge x < \infty$$
we get the equation
$$x + 2 = 0$$
after simplifying we get
$$x + 2 = 0$$
the solution in this interval:
$$x_{1} = -2$$
but x1 not in the inequality interval
2.
$$x < 0$$
or
$$-\infty < x \wedge x < 0$$
we get the equation
$$2 - x = 0$$
after simplifying we get
$$2 - x = 0$$
the solution in this interval:
$$x_{2} = 2$$
but x2 not in the inequality interval
The final answer:
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
$$x + 2 = 0$$
after simplifying we get
$$x + 2 = 0$$
the solution in this interval:
$$x_{1} = -2$$
but x1 not in the inequality interval
2.
$$x < 0$$
or
$$-\infty < x \wedge x < 0$$
we get the equation
$$2 - x = 0$$
after simplifying we get
$$2 - x = 0$$
the solution in this interval:
$$x_{2} = 2$$
but x2 not in the inequality interval
The final answer:
The graph