42y^2+28y-14=0

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Solution for 42y^2+28y-14=0 equation:



42y^2+28y-14=0
a = 42; b = 28; c = -14;
Δ = b2-4ac
Δ = 282-4·42·(-14)
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-56}{2*42}=\frac{-84}{84} =-1 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+56}{2*42}=\frac{28}{84} =1/3 $

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