4.9x^2-25x-2=0

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Solution for 4.9x^2-25x-2=0 equation:



4.9x^2-25x-2=0
a = 4.9; b = -25; c = -2;
Δ = b2-4ac
Δ = -252-4·4.9·(-2)
Δ = 664.2
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{-(-25)-\sqrt{664.2}}{2*4.9}=\frac{25-\sqrt{664.2}}{9.8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+\sqrt{664.2}}{2*4.9}=\frac{25+\sqrt{664.2}}{9.8} $

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