1-180y^2=0

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Solution for 1-180y^2=0 equation:



1-180y^2=0
a = -180; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-180)·1
Δ = 720
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{720}=\sqrt{144*5}=\sqrt{144}*\sqrt{5}=12\sqrt{5}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{5}}{2*-180}=\frac{0-12\sqrt{5}}{-360} =-\frac{12\sqrt{5}}{-360} =-\frac{\sqrt{5}}{-30} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{5}}{2*-180}=\frac{0+12\sqrt{5}}{-360} =\frac{12\sqrt{5}}{-360} =\frac{\sqrt{5}}{-30} $

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