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x^2-2.5x-58.5=0
a = 1; b = -2.5; c = -58.5;
Δ = b2-4ac
Δ = -2.52-4·1·(-58.5)
Δ = 240.25
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{-(-2.5)-\sqrt{240.25}}{2*1}=\frac{2.5-\sqrt{240.25}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.5)+\sqrt{240.25}}{2*1}=\frac{2.5+\sqrt{240.25}}{2} $
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