x^2-1250000=0

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Solution for x^2-1250000=0 equation:



x^2-1250000=0
a = 1; b = 0; c = -1250000;
Δ = b2-4ac
Δ = 02-4·1·(-1250000)
Δ = 5000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{5000000}=\sqrt{1000000*5}=\sqrt{1000000}*\sqrt{5}=1000\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1000\sqrt{5}}{2*1}=\frac{0-1000\sqrt{5}}{2} =-\frac{1000\sqrt{5}}{2} =-500\sqrt{5} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1000\sqrt{5}}{2*1}=\frac{0+1000\sqrt{5}}{2} =\frac{1000\sqrt{5}}{2} =500\sqrt{5} $

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