(2y^2)-40y+128=0

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Solution for (2y^2)-40y+128=0 equation:



(2y^2)-40y+128=0
a = 2; b = -40; c = +128;
Δ = b2-4ac
Δ = -402-4·2·128
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-24}{2*2}=\frac{16}{4} =4 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+24}{2*2}=\frac{64}{4} =16 $

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