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X^2+8.5X+1.7=0
a = 1; b = 8.5; c = +1.7;
Δ = b2-4ac
Δ = 8.52-4·1·1.7
Δ = 65.45
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{-(8.5)-\sqrt{65.45}}{2*1}=\frac{-8.5-\sqrt{65.45}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8.5)+\sqrt{65.45}}{2*1}=\frac{-8.5+\sqrt{65.45}}{2} $
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