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-x^2+12.5x=0
We add all the numbers together, and all the variables
-1x^2+12.5x=0
a = -1; b = 12.5; c = 0;
Δ = b2-4ac
Δ = 12.52-4·(-1)·0
Δ = 156.25
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{-(12.5)-\sqrt{156.25}}{2*-1}=\frac{-12.5-\sqrt{156.25}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12.5)+\sqrt{156.25}}{2*-1}=\frac{-12.5+\sqrt{156.25}}{-2} $
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