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6.9x^2-78x+168=0
a = 6.9; b = -78; c = +168;
Δ = b2-4ac
Δ = -782-4·6.9·168
Δ = 1447.2
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{-(-78)-\sqrt{1447.2}}{2*6.9}=\frac{78-\sqrt{1447.2}}{13.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-78)+\sqrt{1447.2}}{2*6.9}=\frac{78+\sqrt{1447.2}}{13.8} $
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