10y^2-14y-12=0

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Solution for 10y^2-14y-12=0 equation:



10y^2-14y-12=0
a = 10; b = -14; c = -12;
Δ = b2-4ac
Δ = -142-4·10·(-12)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-26}{2*10}=\frac{-12}{20} =-3/5 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+26}{2*10}=\frac{40}{20} =2 $

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