3x^2+53x-18=0

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Solution for 3x^2+53x-18=0 equation:



3x^2+53x-18=0
a = 3; b = 53; c = -18;
Δ = b2-4ac
Δ = 532-4·3·(-18)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(53)-55}{2*3}=\frac{-108}{6} =-18 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(53)+55}{2*3}=\frac{2}{6} =1/3 $

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