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.17x^2-2.61x-17.36=0
a = .17; b = -2.61; c = -17.36;
Δ = b2-4ac
Δ = -2.612-4·.17·(-17.36)
Δ = 18.6169
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{-(-2.61)-\sqrt{18.6169}}{2*.17}=\frac{2.61-\sqrt{18.6169}}{0.34} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.61)+\sqrt{18.6169}}{2*.17}=\frac{2.61+\sqrt{18.6169}}{0.34} $
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