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2x^2-25x-15=0
a = 2; b = -25; c = -15;
Δ = b2-4ac
Δ = -252-4·2·(-15)
Δ = 745
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{745}}{2*2}=\frac{25-\sqrt{745}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+\sqrt{745}}{2*2}=\frac{25+\sqrt{745}}{4} $
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