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6x^2-78x+180=0
a = 6; b = -78; c = +180;
Δ = b2-4ac
Δ = -782-4·6·180
Δ = 1764
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{1764}=42$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-78)-42}{2*6}=\frac{36}{12} =3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-78)+42}{2*6}=\frac{120}{12} =10 $
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