x^2=10^6

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Solution for x^2=10^6 equation:



x^2=10^6
We move all terms to the left:
x^2-(10^6)=0
We add all the numbers together, and all the variables
x^2-1000000=0
a = 1; b = 0; c = -1000000;
Δ = b2-4ac
Δ = 02-4·1·(-1000000)
Δ = 4000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4000000}=2000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2000}{2*1}=\frac{-2000}{2} =-1000 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2000}{2*1}=\frac{2000}{2} =1000 $

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