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x^2+1.75x-7=0
a = 1; b = 1.75; c = -7;
Δ = b2-4ac
Δ = 1.752-4·1·(-7)
Δ = 31.0625
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{31.0625}}{2*1}=\frac{-1.75-\sqrt{31.0625}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.75)+\sqrt{31.0625}}{2*1}=\frac{-1.75+\sqrt{31.0625}}{2} $
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