12.4y+14=6y2

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Solution for 12.4y+14=6y2 equation:



12.4y+14=6y^2
We move all terms to the left:
12.4y+14-(6y^2)=0
determiningTheFunctionDomain -6y^2+12.4y+14=0
a = -6; b = 12.4; c = +14;
Δ = b2-4ac
Δ = 12.42-4·(-6)·14
Δ = 489.76
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12.4)-\sqrt{489.76}}{2*-6}=\frac{-12.4-\sqrt{489.76}}{-12} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12.4)+\sqrt{489.76}}{2*-6}=\frac{-12.4+\sqrt{489.76}}{-12} $

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