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4x^2-118x+220=0
a = 4; b = -118; c = +220;
Δ = b2-4ac
Δ = -1182-4·4·220
Δ = 10404
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{10404}=102$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-118)-102}{2*4}=\frac{16}{8} =2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-118)+102}{2*4}=\frac{220}{8} =27+1/2 $
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