8000x^2+x^2=44,100

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Solution for 8000x^2+x^2=44,100 equation:



8000x^2+x^2=44.100
We move all terms to the left:
8000x^2+x^2-(44.100)=0
We add all the numbers together, and all the variables
8000x^2+x^2-(44.1)=0
We add all the numbers together, and all the variables
8001x^2-44.1=0
a = 8001; b = 0; c = -44.1;
Δ = b2-4ac
Δ = 02-4·8001·(-44.1)
Δ = 1411376.4
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{1411376.4}}{2*8001}=\frac{0-\sqrt{1411376.4}}{16002} =-\frac{\sqrt{}}{16002} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1411376.4}}{2*8001}=\frac{0+\sqrt{1411376.4}}{16002} =\frac{\sqrt{}}{16002} $

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