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x(x-175)+7500=0
We multiply parentheses
x^2-175x+7500=0
a = 1; b = -175; c = +7500;
Δ = b2-4ac
Δ = -1752-4·1·7500
Δ = 625
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{625}=25$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-175)-25}{2*1}=\frac{150}{2} =75 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-175)+25}{2*1}=\frac{200}{2} =100 $
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