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25=0.0125x^2-x
We move all terms to the left:
25-(0.0125x^2-x)=0
We get rid of parentheses
-0.0125x^2+x+25=0
a = -0.0125; b = 1; c = +25;
Δ = b2-4ac
Δ = 12-4·(-0.0125)·25
Δ = 2.25
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{-(1)-\sqrt{2.25}}{2*-0.0125}=\frac{-1-\sqrt{2.25}}{-0.025} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{2.25}}{2*-0.0125}=\frac{-1+\sqrt{2.25}}{-0.025} $
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