y^2=8100

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Solution for y^2=8100 equation:



y^2=8100
We move all terms to the left:
y^2-(8100)=0
a = 1; b = 0; c = -8100;
Δ = b2-4ac
Δ = 02-4·1·(-8100)
Δ = 32400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{32400}=180$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-180}{2*1}=\frac{-180}{2} =-90 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+180}{2*1}=\frac{180}{2} =90 $

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