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x^2+25x-418=0
a = 1; b = 25; c = -418;
Δ = b2-4ac
Δ = 252-4·1·(-418)
Δ = 2297
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{-(25)-\sqrt{2297}}{2*1}=\frac{-25-\sqrt{2297}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+\sqrt{2297}}{2*1}=\frac{-25+\sqrt{2297}}{2} $
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