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x2-2085=124
We move all terms to the left:
x2-2085-(124)=0
We add all the numbers together, and all the variables
x^2-2209=0
a = 1; b = 0; c = -2209;
Δ = b2-4ac
Δ = 02-4·1·(-2209)
Δ = 8836
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{8836}=94$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-94}{2*1}=\frac{-94}{2} =-47 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+94}{2*1}=\frac{94}{2} =47 $
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