10y^2+12y+2=0

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Solution for 10y^2+12y+2=0 equation:



10y^2+12y+2=0
a = 10; b = 12; c = +2;
Δ = b2-4ac
Δ = 122-4·10·2
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-8}{2*10}=\frac{-20}{20} =-1 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+8}{2*10}=\frac{-4}{20} =-1/5 $

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