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x^2-175x-22500=0
a = 1; b = -175; c = -22500;
Δ = b2-4ac
Δ = -1752-4·1·(-22500)
Δ = 120625
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{120625}=\sqrt{625*193}=\sqrt{625}*\sqrt{193}=25\sqrt{193}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-175)-25\sqrt{193}}{2*1}=\frac{175-25\sqrt{193}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-175)+25\sqrt{193}}{2*1}=\frac{175+25\sqrt{193}}{2} $
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