x^2=1073741824

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Solution for x^2=1073741824 equation:



x^2=1073741824
We move all terms to the left:
x^2-(1073741824)=0
a = 1; b = 0; c = -1073741824;
Δ = b2-4ac
Δ = 02-4·1·(-1073741824)
Δ = 4294967296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4294967296}=65536$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-65536}{2*1}=\frac{-65536}{2} =-32768 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+65536}{2*1}=\frac{65536}{2} =32768 $

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