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70-33x+2x^2=0
a = 2; b = -33; c = +70;
Δ = b2-4ac
Δ = -332-4·2·70
Δ = 529
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{529}=23$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-33)-23}{2*2}=\frac{10}{4} =2+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+23}{2*2}=\frac{56}{4} =14 $
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