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|x|=3

|x|=3 equation

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Numerical solution:

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The solution

You have entered [src] 
|x| = 3
∣x∣=3\left|{x}\right| = 3
Simplify
Detail solution
For every modulo expressions in the equation
allow cases, when this expressions ">=0" or "<0",
solve the resulting equation.

1.
x≥0x \geq 0
or
0≤x∧x<∞0 \leq x \wedge x < \infty
we get the equation
x−3=0x - 3 = 0
after simplifying we get
x−3=0x - 3 = 0
the solution in this interval:
x1=3x_{1} = 3

2.
x<0x < 0
or
−∞<x∧x<0-\infty < x \wedge x < 0
we get the equation
−x−3=0- x - 3 = 0
after simplifying we get
−x−3=0- x - 3 = 0
the solution in this interval:
x2=−3x_{2} = -3


The final answer:
x1=3x_{1} = 3
x2=−3x_{2} = -3
The graph
05-15-10-51015020
Plot the graph f1(x)
Plot the graph f2(x)
Sum and product of roots [src] 
sum
-3 + 3
−3+3-3 + 3 
=
0
00 
product
-3*3
−9- 9 
=
-9
−9-9 
-9
Rapid solution [src] 
x1 = -3
x1=−3x_{1} = -3 
x2 = 3
x2=3x_{2} = 3 
x2 = 3
Numerical answer [src] 
x1 = -3.0
x2 = 3.0
x2 = 3.0
The graph
|x|=3 equation
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