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x^2-2=0

x^2-2=0 equation

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Numerical solution:

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The solution

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 2        
x  - 2 = 0
$$x^{2} - 2 = 0$$
Detail solution
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:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
where D = b^2 - 4*a*c - it is the discriminant.
Because
$$a = 1$$
$$b = 0$$
$$c = -2$$
, then
D = b^2 - 4 * a * c = 

(0)^2 - 4 * (1) * (-2) = 8

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

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

or
$$x_{1} = \sqrt{2}$$
$$x_{2} = - \sqrt{2}$$
Vieta's Theorem
it is reduced quadratic equation
$$p x + q + x^{2} = 0$$
where
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = -2$$
Vieta Formulas
$$x_{1} + x_{2} = - p$$
$$x_{1} x_{2} = q$$
$$x_{1} + x_{2} = 0$$
$$x_{1} x_{2} = -2$$
The graph
Rapid solution [src]
        ___
x1 = -\/ 2 
$$x_{1} = - \sqrt{2}$$
       ___
x2 = \/ 2 
$$x_{2} = \sqrt{2}$$
x2 = sqrt(2)
Sum and product of roots [src]
sum
    ___     ___
- \/ 2  + \/ 2 
$$- \sqrt{2} + \sqrt{2}$$
=
0
$$0$$
product
   ___   ___
-\/ 2 *\/ 2 
$$- \sqrt{2} \sqrt{2}$$
=
-2
$$-2$$
-2
Numerical answer [src]
x1 = 1.4142135623731
x2 = -1.4142135623731
x2 = -1.4142135623731
The graph
x^2-2=0 equation