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|x|=5

|x|=5 equation

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Numerical solution:

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The solution

You have entered [src] 
|x| = 5
∣x∣=5\left|{x}\right| = 5
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−5=0x - 5 = 0
after simplifying we get
x−5=0x - 5 = 0
the solution in this interval:
x1=5x_{1} = 5

2.
x<0x < 0
or
−∞<x∧x<0-\infty < x \wedge x < 0
we get the equation
−x−5=0- x - 5 = 0
after simplifying we get
−x−5=0- x - 5 = 0
the solution in this interval:
x2=−5x_{2} = -5


The final answer:
x1=5x_{1} = 5
x2=−5x_{2} = -5
The graph
05-20-15-10-5101520020
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = -5
x1=−5x_{1} = -5 
x2 = 5
x2=5x_{2} = 5 
x2 = 5
Sum and product of roots [src] 
sum
-5 + 5
−5+5-5 + 5 
=
0
00 
product
-5*5
−25- 25 
=
-25
−25-25 
-25
Numerical answer [src] 
x1 = 5.0
x2 = -5.0
x2 = -5.0
The graph
|x|=5 equation
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