3x2+30x+68=0

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Solution for 3x2+30x+68=0 equation:



3x^2+30x+68=0
a = 3; b = 30; c = +68;
Δ = b2-4ac
Δ = 302-4·3·68
Δ = 84
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{84}=\sqrt{4*21}=\sqrt{4}*\sqrt{21}=2\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-2\sqrt{21}}{2*3}=\frac{-30-2\sqrt{21}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+2\sqrt{21}}{2*3}=\frac{-30+2\sqrt{21}}{6} $

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