x2=9289

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Solution for x2=9289 equation:



x2=9289
We move all terms to the left:
x2-(9289)=0
We add all the numbers together, and all the variables
x^2-9289=0
a = 1; b = 0; c = -9289;
Δ = b2-4ac
Δ = 02-4·1·(-9289)
Δ = 37156
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:
$\sqrt{\Delta}=\sqrt{37156}=\sqrt{4*9289}=\sqrt{4}*\sqrt{9289}=2\sqrt{9289}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{9289}}{2*1}=\frac{0-2\sqrt{9289}}{2} =-\frac{2\sqrt{9289}}{2} =-\sqrt{9289} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{9289}}{2*1}=\frac{0+2\sqrt{9289}}{2} =\frac{2\sqrt{9289}}{2} =\sqrt{9289} $

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