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x^2-1.75x-0.75=0
a = 1; b = -1.75; c = -0.75;
Δ = b2-4ac
Δ = -1.752-4·1·(-0.75)
Δ = 6.0625
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{-(-1.75)-\sqrt{6.0625}}{2*1}=\frac{1.75-\sqrt{6.0625}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.75)+\sqrt{6.0625}}{2*1}=\frac{1.75+\sqrt{6.0625}}{2} $
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