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x2=1100
We move all terms to the left:
x2-(1100)=0
We add all the numbers together, and all the variables
x^2-1100=0
a = 1; b = 0; c = -1100;
Δ = b2-4ac
Δ = 02-4·1·(-1100)
Δ = 4400
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{4400}=\sqrt{400*11}=\sqrt{400}*\sqrt{11}=20\sqrt{11}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{11}}{2*1}=\frac{0-20\sqrt{11}}{2} =-\frac{20\sqrt{11}}{2} =-10\sqrt{11} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{11}}{2*1}=\frac{0+20\sqrt{11}}{2} =\frac{20\sqrt{11}}{2} =10\sqrt{11} $
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