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x2=10000
We move all terms to the left:
x2-(10000)=0
We add all the numbers together, and all the variables
x^2-10000=0
a = 1; b = 0; c = -10000;
Δ = b2-4ac
Δ = 02-4·1·(-10000)
Δ = 40000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{40000}=200$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200}{2*1}=\frac{-200}{2} =-100 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200}{2*1}=\frac{200}{2} =100 $
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