20x^2=2000

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Solution for 20x^2=2000 equation:



20x^2=2000
We move all terms to the left:
20x^2-(2000)=0
a = 20; b = 0; c = -2000;
Δ = b2-4ac
Δ = 02-4·20·(-2000)
Δ = 160000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{160000}=400$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-400}{2*20}=\frac{-400}{40} =-10 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+400}{2*20}=\frac{400}{40} =10 $

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