4.9x^2-9.6x-49.4=0

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Solution for 4.9x^2-9.6x-49.4=0 equation:



4.9x^2-9.6x-49.4=0
a = 4.9; b = -9.6; c = -49.4;
Δ = b2-4ac
Δ = -9.62-4·4.9·(-49.4)
Δ = 1060.4
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{-(-9.6)-\sqrt{1060.4}}{2*4.9}=\frac{9.6-\sqrt{1060.4}}{9.8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9.6)+\sqrt{1060.4}}{2*4.9}=\frac{9.6+\sqrt{1060.4}}{9.8} $

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