20x^2=980

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Solution for 20x^2=980 equation:



20x^2=980
We move all terms to the left:
20x^2-(980)=0
a = 20; b = 0; c = -980;
Δ = b2-4ac
Δ = 02-4·20·(-980)
Δ = 78400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{78400}=280$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-280}{2*20}=\frac{-280}{40} =-7 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+280}{2*20}=\frac{280}{40} =7 $

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