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x^2-2.451x+1.250=0
We add all the numbers together, and all the variables
x^2-2.451x+1.25=0
a = 1; b = -2.451; c = +1.25;
Δ = b2-4ac
Δ = -2.4512-4·1·1.25
Δ = 1.007401
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{-(-2.451)-\sqrt{1.007401}}{2*1}=\frac{2.451-\sqrt{1.007401}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.451)+\sqrt{1.007401}}{2*1}=\frac{2.451+\sqrt{1.007401}}{2} $
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