3x^2-27x-210=0

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Solution for 3x^2-27x-210=0 equation:



3x^2-27x-210=0
a = 3; b = -27; c = -210;
Δ = b2-4ac
Δ = -272-4·3·(-210)
Δ = 3249
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3249}=57$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-57}{2*3}=\frac{-30}{6} =-5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+57}{2*3}=\frac{84}{6} =14 $

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