3x^2-21x-1=0

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Solution for 3x^2-21x-1=0 equation:



3x^2-21x-1=0
a = 3; b = -21; c = -1;
Δ = b2-4ac
Δ = -212-4·3·(-1)
Δ = 453
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{-(-21)-\sqrt{453}}{2*3}=\frac{21-\sqrt{453}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+\sqrt{453}}{2*3}=\frac{21+\sqrt{453}}{6} $

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