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60x^2-69x+8=0
a = 60; b = -69; c = +8;
Δ = b2-4ac
Δ = -692-4·60·8
Δ = 2841
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{-(-69)-\sqrt{2841}}{2*60}=\frac{69-\sqrt{2841}}{120} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-69)+\sqrt{2841}}{2*60}=\frac{69+\sqrt{2841}}{120} $
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