Y=x2-225

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Solution for Y=x2-225 equation:



=Y2-225
We move all terms to the left:
-(Y2-225)=0
We add all the numbers together, and all the variables
-(+Y^2-225)=0
We get rid of parentheses
-Y^2+225=0
We add all the numbers together, and all the variables
-1Y^2+225=0
a = -1; b = 0; c = +225;
Δ = b2-4ac
Δ = 02-4·(-1)·225
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30}{2*-1}=\frac{-30}{-2} =+15 $
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30}{2*-1}=\frac{30}{-2} =-15 $

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