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2x^2-57x+378=0
a = 2; b = -57; c = +378;
Δ = b2-4ac
Δ = -572-4·2·378
Δ = 225
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{225}=15$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-57)-15}{2*2}=\frac{42}{4} =10+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-57)+15}{2*2}=\frac{72}{4} =18 $
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