Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation -15x=45
-
Equation x^2=15
-
Equation x^4=16
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Equation 3/5*x=1
- Express {x} in terms of y where:
- 18*x+17*y=-14
- -1*x-6*y=18
- 16*x-17*y=-15
- -4*x-4*y=19
- Graphing y =:
- |-x|
-
Identical expressions
- |-x|=- twenty-three , four
- module of minus x| equally minus 23,4
- module of minus x| equally minus twenty minus three , four
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Similar expressions
- 2*sin*|x-2|-x*|sinx|=0
- |-x|=+23,4
- |+x|=-23,4
|-x|=-23,4 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
$$x + \frac{117}{5} = 0$$
after simplifying we get
$$x + \frac{117}{5} = 0$$
the solution in this interval:
$$x_{1} = - \frac{117}{5}$$
but x1 not in the inequality interval
2.
$$x < 0$$
or
$$-\infty < x \wedge x < 0$$
we get the equation
$$\frac{117}{5} - x = 0$$
after simplifying we get
$$\frac{117}{5} - x = 0$$
the solution in this interval:
$$x_{2} = \frac{117}{5}$$
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
$$x + \frac{117}{5} = 0$$
after simplifying we get
$$x + \frac{117}{5} = 0$$
the solution in this interval:
$$x_{1} = - \frac{117}{5}$$
but x1 not in the inequality interval
2.
$$x < 0$$
or
$$-\infty < x \wedge x < 0$$
we get the equation
$$\frac{117}{5} - x = 0$$
after simplifying we get
$$\frac{117}{5} - x = 0$$
the solution in this interval:
$$x_{2} = \frac{117}{5}$$
but x2 not in the inequality interval
The final answer: