12y^2+43y+14=0

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Solution for 12y^2+43y+14=0 equation:



12y^2+43y+14=0
a = 12; b = 43; c = +14;
Δ = b2-4ac
Δ = 432-4·12·14
Δ = 1177
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{-(43)-\sqrt{1177}}{2*12}=\frac{-43-\sqrt{1177}}{24} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(43)+\sqrt{1177}}{2*12}=\frac{-43+\sqrt{1177}}{24} $

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