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x2-1.25x-1.5=0
We add all the numbers together, and all the variables
x^2-1.25x-1.5=0
a = 1; b = -1.25; c = -1.5;
Δ = b2-4ac
Δ = -1.252-4·1·(-1.5)
Δ = 7.5625
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{-(-1.25)-\sqrt{7.5625}}{2*1}=\frac{1.25-\sqrt{7.5625}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.25)+\sqrt{7.5625}}{2*1}=\frac{1.25+\sqrt{7.5625}}{2} $
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