325=x^2

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Solution for 325=x^2 equation:



325=x^2
We move all terms to the left:
325-(x^2)=0
We add all the numbers together, and all the variables
-1x^2+325=0
a = -1; b = 0; c = +325;
Δ = b2-4ac
Δ = 02-4·(-1)·325
Δ = 1300
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{1300}=\sqrt{100*13}=\sqrt{100}*\sqrt{13}=10\sqrt{13}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{13}}{2*-1}=\frac{0-10\sqrt{13}}{-2} =-\frac{10\sqrt{13}}{-2} =-\frac{5\sqrt{13}}{-1} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{13}}{2*-1}=\frac{0+10\sqrt{13}}{-2} =\frac{10\sqrt{13}}{-2} =\frac{5\sqrt{13}}{-1} $

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