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x^2+10.5x-84=0
a = 1; b = 10.5; c = -84;
Δ = b2-4ac
Δ = 10.52-4·1·(-84)
Δ = 446.25
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{-(10.5)-\sqrt{446.25}}{2*1}=\frac{-10.5-\sqrt{446.25}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10.5)+\sqrt{446.25}}{2*1}=\frac{-10.5+\sqrt{446.25}}{2} $
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