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70x^2-73.5x-294=0
a = 70; b = -73.5; c = -294;
Δ = b2-4ac
Δ = -73.52-4·70·(-294)
Δ = 87722.25
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{-(-73.5)-\sqrt{87722.25}}{2*70}=\frac{73.5-\sqrt{87722.25}}{140} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73.5)+\sqrt{87722.25}}{2*70}=\frac{73.5+\sqrt{87722.25}}{140} $
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