x^2=1.0*10^-6

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Solution for x^2=1.0*10^-6 equation:



x^2=1.0*10^-6
We move all terms to the left:
x^2-(1.0*10^-6)=0
We add all the numbers together, and all the variables
x^2-6-1.0E=0
We add all the numbers together, and all the variables
x^2-8.718281828459=0
a = 1; b = 0; c = -8.718281828459;
Δ = b2-4ac
Δ = 02-4·1·(-8.718281828459)
Δ = 34.873127313836
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{34.873127313836}}{2*1}=\frac{0-\sqrt{34.873127313836}}{2} =-\frac{\sqrt{}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{34.873127313836}}{2*1}=\frac{0+\sqrt{34.873127313836}}{2} =\frac{\sqrt{}}{2} $

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