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2x^2-78x+720=0
a = 2; b = -78; c = +720;
Δ = b2-4ac
Δ = -782-4·2·720
Δ = 324
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{324}=18$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-78)-18}{2*2}=\frac{60}{4} =15 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-78)+18}{2*2}=\frac{96}{4} =24 $
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