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x^2+2x+1-8062.5/7500=0
We multiply all the terms by the denominator
x^2*7500+2x*7500-8062.5+1*7500=0
We add all the numbers together, and all the variables
x^2*7500+2x*7500-562.5=0
Wy multiply elements
7500x^2+15000x-562.5=0
a = 7500; b = 15000; c = -562.5;
Δ = b2-4ac
Δ = 150002-4·7500·(-562.5)
Δ = 241875000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{241875000}=\sqrt{562500*430}=\sqrt{562500}*\sqrt{430}=750\sqrt{430}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15000)-750\sqrt{430}}{2*7500}=\frac{-15000-750\sqrt{430}}{15000} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15000)+750\sqrt{430}}{2*7500}=\frac{-15000+750\sqrt{430}}{15000} $
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