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(4-x^2)^(1/2) equation

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Numerical solution:

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The solution

You have entered [src] 
   ________    
  /      2     
\/  4 - x   = 0
4−x2=0\sqrt{4 - x^{2}} = 0
Simplify
Detail solution
4−x2=0\sqrt{4 - x^{2}} = 0
transform
4−x2=04 - x^{2} = 0
This equation is of the form
a*x^2 + b*x + c = 0

A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
x1=D−b2ax_{1} = \frac{\sqrt{D} - b}{2 a}
x2=−D−b2ax_{2} = \frac{- \sqrt{D} - b}{2 a}
where D = b^2 - 4*a*c - it is the discriminant.
Because
a=−1a = -1
b=0b = 0
c=4c = 4
, then
D = b^2 - 4 * a * c = 

(0)^2 - 4 * (-1) * (4) = 16

Because D > 0, then the equation has two roots.
x1 = (-b + sqrt(D)) / (2*a)

x2 = (-b - sqrt(D)) / (2*a)

or
x1=−2x_{1} = -2
x2=2x_{2} = 2
The graph
05-15-10-5101504
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = -2
x1=−2x_{1} = -2 
x2 = 2
x2=2x_{2} = 2 
x2 = 2
Sum and product of roots [src] 
sum
-2 + 2
−2+2-2 + 2 
=
0
00 
product
-2*2
−4- 4 
=
-4
−4-4 
-4
Numerical answer [src] 
x1 = 2.0
x2 = -2.0
x2 = -2.0
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