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X2-3.79X+1.78=0
We add all the numbers together, and all the variables
X^2-3.79X+1.78=0
a = 1; b = -3.79; c = +1.78;
Δ = b2-4ac
Δ = -3.792-4·1·1.78
Δ = 7.2441
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{-(-3.79)-\sqrt{7.2441}}{2*1}=\frac{3.79-\sqrt{7.2441}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.79)+\sqrt{7.2441}}{2*1}=\frac{3.79+\sqrt{7.2441}}{2} $
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