Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation sin(x)=4
-
Equation 5^x=125
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Equation (|x+4|)=5
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Equation 2*sin(x)=1
- Express {x} in terms of y where:
- 16*x-17*y=-15
- -4*x-4*y=19
- 15*x+1*y=19
- -5*x-2*y=9
- Graphing y =:
- (|x+4|)
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Identical expressions
- (|x+ four |)= five
- ( module of x plus 4|) equally 5
- ( module of x plus four |) equally five
- |x+4|=5
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Similar expressions
- |x+4|+|x-5|=8
- |x+4|=-2
- (|x-4|)=5
- 0,5(|x+3|-|x-1|)=|x+4|-3
- |x-4|+|x+4|=a
(|x+4|)=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.
$$x + 4 \geq 0$$
or
$$-4 \leq x \wedge x < \infty$$
we get the equation
$$\left(x + 4\right) - 5 = 0$$
after simplifying we get
$$x - 1 = 0$$
the solution in this interval:
$$x_{1} = 1$$
2.
$$x + 4 < 0$$
or
$$-\infty < x \wedge x < -4$$
we get the equation
$$\left(- x - 4\right) - 5 = 0$$
after simplifying we get
$$- x - 9 = 0$$
the solution in this interval:
$$x_{2} = -9$$
The final answer:
$$x_{1} = 1$$
$$x_{2} = -9$$
allow cases, when this expressions ">=0" or "<0",
solve the resulting equation.
1.
$$x + 4 \geq 0$$
or
$$-4 \leq x \wedge x < \infty$$
we get the equation
$$\left(x + 4\right) - 5 = 0$$
after simplifying we get
$$x - 1 = 0$$
the solution in this interval:
$$x_{1} = 1$$
2.
$$x + 4 < 0$$
or
$$-\infty < x \wedge x < -4$$
we get the equation
$$\left(- x - 4\right) - 5 = 0$$
after simplifying we get
$$- x - 9 = 0$$
the solution in this interval:
$$x_{2} = -9$$
The final answer:
$$x_{1} = 1$$
$$x_{2} = -9$$
The graph