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X*X=13000
We move all terms to the left:
X*X-(13000)=0
Wy multiply elements
X^2-13000=0
a = 1; b = 0; c = -13000;
Δ = b2-4ac
Δ = 02-4·1·(-13000)
Δ = 52000
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{52000}=\sqrt{400*130}=\sqrt{400}*\sqrt{130}=20\sqrt{130}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{130}}{2*1}=\frac{0-20\sqrt{130}}{2} =-\frac{20\sqrt{130}}{2} =-10\sqrt{130} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{130}}{2*1}=\frac{0+20\sqrt{130}}{2} =\frac{20\sqrt{130}}{2} =10\sqrt{130} $
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