2y^2-30y+72=0

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Solution for 2y^2-30y+72=0 equation:



2y^2-30y+72=0
a = 2; b = -30; c = +72;
Δ = b2-4ac
Δ = -302-4·2·72
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-18}{2*2}=\frac{12}{4} =3 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+18}{2*2}=\frac{48}{4} =12 $

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