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x(x-1260)=-24799.9541
We move all terms to the left:
x(x-1260)-(-24799.9541)=0
We add all the numbers together, and all the variables
x(x-1260)+24799.9541=0
We multiply parentheses
x^2-1260x+24799.9541=0
a = 1; b = -1260; c = +24799.9541;
Δ = b2-4ac
Δ = -12602-4·1·24799.9541
Δ = 1488400.1836
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1260)-\sqrt{1488400.1836}}{2*1}=\frac{1260-\sqrt{1488400.1836}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1260)+\sqrt{1488400.1836}}{2*1}=\frac{1260+\sqrt{1488400.1836}}{2} $
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