4.9x^2+19.6x=0

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Solution for 4.9x^2+19.6x=0 equation:



4.9x^2+19.6x=0
a = 4.9; b = 19.6; c = 0;
Δ = b2-4ac
Δ = 19.62-4·4.9·0
Δ = 384.16
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{-(19.6)-\sqrt{384.16}}{2*4.9}=\frac{-19.6-\sqrt{384.16}}{9.8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19.6)+\sqrt{384.16}}{2*4.9}=\frac{-19.6+\sqrt{384.16}}{9.8} $

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