15y^2-41y+14=0

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Solution for 15y^2-41y+14=0 equation:



15y^2-41y+14=0
a = 15; b = -41; c = +14;
Δ = b2-4ac
Δ = -412-4·15·14
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-41)-29}{2*15}=\frac{12}{30} =2/5 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-41)+29}{2*15}=\frac{70}{30} =2+1/3 $

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