6x^2+62x+42=0

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Solution for 6x^2+62x+42=0 equation:



6x^2+62x+42=0
a = 6; b = 62; c = +42;
Δ = b2-4ac
Δ = 622-4·6·42
Δ = 2836
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:
$\sqrt{\Delta}=\sqrt{2836}=\sqrt{4*709}=\sqrt{4}*\sqrt{709}=2\sqrt{709}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(62)-2\sqrt{709}}{2*6}=\frac{-62-2\sqrt{709}}{12} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(62)+2\sqrt{709}}{2*6}=\frac{-62+2\sqrt{709}}{12} $

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