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6x^2-70x+156=0
a = 6; b = -70; c = +156;
Δ = b2-4ac
Δ = -702-4·6·156
Δ = 1156
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{1156}=34$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-34}{2*6}=\frac{36}{12} =3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+34}{2*6}=\frac{104}{12} =8+2/3 $
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