y2=3300

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Solution for y2=3300 equation:



y2=3300
We move all terms to the left:
y2-(3300)=0
We add all the numbers together, and all the variables
y^2-3300=0
a = 1; b = 0; c = -3300;
Δ = b2-4ac
Δ = 02-4·1·(-3300)
Δ = 13200
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:
$\sqrt{\Delta}=\sqrt{13200}=\sqrt{400*33}=\sqrt{400}*\sqrt{33}=20\sqrt{33}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{33}}{2*1}=\frac{0-20\sqrt{33}}{2} =-\frac{20\sqrt{33}}{2} =-10\sqrt{33} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{33}}{2*1}=\frac{0+20\sqrt{33}}{2} =\frac{20\sqrt{33}}{2} =10\sqrt{33} $

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